David’s project deadline was approaching soon. That day, he was still sitting at his desk after office hours and was still thinking the best way to finish his project on time. He was exited after...
Zarin sadaf snigdha Since both the Giraffes are similar & we know the volume & heigh of larger Giraffe & the height of the smaller Giraffe we can use Similarity to find the volume of smaller Giraffe.
(Volume of smaller/ volume of larger) = (height of smaller/... moreSince both the Giraffes are similar & we know the volume & heigh of larger Giraffe & the height of the smaller Giraffe we can use Similarity to find the volume of smaller Giraffe.
(Volume of smaller/ volume of larger) = (height of smaller/ height of larger)^3
(X/5400) = (4/6)^3
X= 1600m3
So the volume of smaller Giraffe is 1600 m3
This method will give us a very accurate volume of the smaller Giraffe as the Giraffes are similar means that the smaller one is a scaled down version of the larger one so dimensions are proportional to the volume. We cubed the length so that we can take it to meter cube & get the volume. less
July 30, 2021
Shadman Chowdhury The volume of the smaller giraffe will be found by different methods. If the first approach doesn't work, try another method.
The formula for calculating volume is: V=L*W*H where L is length, W is width and H is height. As you can see in the diagram... moreThe volume of the smaller giraffe will be found by different methods. If the first approach doesn't work, try another method.
The formula for calculating volume is: V=L*W*H where L is length, W is width and H is height. As you can see in the diagram above, the L of the smaller giraffe is 6m and its width and height are both 1m each. Thus the total surface area (6x1) + (1x1)=7 sq m.
Since we know that the larger giraffe has a volume of 5400 m³, we need to find how many times more or less than this number 7sq m represents when compared to the larger giraffe with a volume of 5400 m³.
Shadman Chowdhury The first method is to calculate the ratio of the surface area of a smaller giraffe compared to that of the larger one and then multiply this number with the volume of a larger giraffe. This will give us an approximate answer for the volume of the... moreThe first method is to calculate the ratio of the surface area of a smaller giraffe compared to that of the larger one and then multiply this number with the volume of a larger giraffe. This will give us an approximate answer for the volume of the smaller giraffes.
Using generic maths formula, we can write: Given: L=6, W = 1 & H=1 --> So, S=(6x1)+(1x1)=7 sq m --> VL=5400 (given) --> RATIO=(Total Surface Area)/ Volume --> S/VL = 7/(5400) or 0.0118696... (approx.)
Thus, we have a ratio of 0.0118696... (approx.) between the surface area of the smaller giraffe and a larger one. Now we need to multiply this number with the volume of the larger giraffe in order to find out how many times the smaller giraffe's volume is compared to that of the larger giraffe.
This gives us a more accurate answer for the volume of smaller giraffes! Vsmaller Giraffes =0.0345691...(approx.) or 836 m³ less
July 31, 2021
Zakaria Ahomed First of all the main thing comes here is about similarity. But a difference in case of height and dimensions. So in this case we can do following things.
Suppose,the volume of smaller one = x
Ratio of their Heights => 4/6= 2/3
Again,if we cube... moreFirst of all the main thing comes here is about similarity. But a difference in case of height and dimensions. So in this case we can do following things.
Suppose,the volume of smaller one = x
Ratio of their Heights => 4/6= 2/3
Again,if we cube this the result will be(2/3)^3= 8/27.
This is similar as the volume so we can write a equation with it. Now, the equation stands → 8/27=x/5400
x=1600m3
Smaller giraffe's volume is 1600m3
Now, 'How my formula will work?' that's the question. The very first thing mentioned here is they are similar. That means ratio of length, width and height will be same. We were given with two heights. From that we have calculated the ratio. And the least form came 2/3 that means it can't be divided any further. So,it is the common ratio among the length,width and height.
But this ratio isn't equal to ratio of volume.For making this equal to volume. We need to cube it. Why? That's because If two solids are similar, the ratio of their volumes is equal to the cube of... less
Zakaria Ahomed That's because If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.The cube came 8/27. And the rest of the things are as given. The equation will be (common ratio)^3=ratio of volumes. Thus... moreThat's because If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.The cube came 8/27. And the rest of the things are as given. The equation will be (common ratio)^3=ratio of volumes. Thus it will work.
Now, the question remains, 'why it will work?' It will work because,I have done the correct things. Now, imagine one thing. I could show ratio of sides equal to the ratio of volumes. In that case that won't be correct and the answer would be 3600m3. Because,a one dimensional unit can't be equal to a three dimensional unit. less
Tanveer Tausif RatulHeight of bigger giraffe, Hbig=6m
Height of smaller giraffe, Hsmall=4m
Volume of bigger giraffe, Vbig=5400m3
Volume of smaller giraffe, Vsmall=X... moreHeight of bigger giraffe, Hbig=6m
Height of smaller giraffe, Hsmall=4m
Volume of bigger giraffe, Vbig=5400m3
Volume of smaller giraffe, Vsmall=X (let)
If we use similarity formula,then,
Hbig/Hsmall=Vbig/Vsmall
But in an equation,the dimensions of the both sides must beequal.In this equation,height is a one-dimensional unit (m),but volume is a three-dimensional unit (m^3).In order to satisfy the condition of an equation,we have
to take the cube of both "Hbig" & "Hsmall".Then the
values will be 216 & 64 accordingly.Now the dimension has become equal & the equation is absolutely correct.
So,putting these values,the equation will be- 216/64=5400/X
From the equation,value of X is 1600
So, the volume of smaller giraffe is, Vsmall=1600m3 less
July 31, 2021
Kanta AkterWe can just simply do this calculation as the Giraffes are similar. the bigger one is 4/6 times the smaller one in all three dimensions that result in a smaller one 5400×4/6×4/6×4/6 or 5400×(4³/6³)=1600m³
Then why this will... moreWe can just simply do this calculation as the Giraffes are similar. the bigger one is 4/6 times the smaller one in all three dimensions that result in a smaller one 5400×4/6×4/6×4/6 or 5400×(4³/6³)=1600m³
Then why this will work?
If two giraffes are similar then their corresponding linear measures (widths, heights, base lengths, etc.) are proportional too. And we also know volume is expressed in the cubic unit because it is the sum of three measurements (length, width, and depth) that are multiplied together. Cubic units are cm3, m3 , and cubic feet.
Now, the main point is which toy size he should keep for manufacturing more toys?
I think he should manufacture smaller giraffes since small things are sturdier in proportion to their size. Moreover, the small Giraffe will be able to hold up fine. But, the larger giraffe built with the same proportions as the small one will collapse under its weight. This large giraffe also needs to have timbers that are thicker compared to its size. That's... less
July 31, 2021
Kanta Akter
That's why a small giraffe will be the best choice for manufacturing.
July 31, 2021
Nirjona AkterIn the passage, it is stated that giraffes are similar with different sizes. We can calculate the volume of a smaller giraffe by using given values along with simple math calculation. So If the height of 6 makes a 5400 m³, then the first part of the... moreIn the passage, it is stated that giraffes are similar with different sizes. We can calculate the volume of a smaller giraffe by using given values along with simple math calculation. So If the height of 6 makes a 5400 m³, then the first part of the proportion is 6/5400 m³ The second part of the proportion has a numerator of 4 because of the height of 6 changes into a height of 4. The proportion should be set up as 6/5400m³=4/x because the bottom number is the volume, and the top is the height, and we want to find the volume of the similar smaller giraffe.
To solve the proportion, let's suppose smaller giraffe volume is x, so if we cross multiply the numerator and denominator, so it would be in this way,
This method will work when all the sides are of the same length. Then, we can find the volume of a cube just knowing the measurement of only one side. If a cube has side length "x" then Volume = x × x × x a which results in... moreWhy this formula will work?
This method will work when all the sides are of the same length. Then, we can find the volume of a cube just knowing the measurement of only one side. If a cube has side length "x" then Volume = x × x × x a which results in the formula, Volume = x³. This is where we get the term called"cubed". When we use power to the 3 over something, we call it cubed. When units of Measure are calculated, we find the volume of an object, and the units are cubed. This means that if the measurements of the sides are in miters, then the answer will be in cubed miters. less
July 31, 2021
Shaikh Nafisa Binte Fahad''How will it work?''
In question, it represents the subject of ‘similarity statistics’. This means that the ratio of height, length, and width will be the same.
In the equation, we are seeing that the dimension of both the values are different which... more''How will it work?''
In question, it represents the subject of ‘similarity statistics’. This means that the ratio of height, length, and width will be the same.
In the equation, we are seeing that the dimension of both the values are different which needs to be equal. Over here, the height is a one-dimensional unit(meter) but the volume is three-dimensional (meter^3). So, we need to cube it to make it evenly dimensional.
''Why would it work?''
Otherwise, it is not according to the rules and the answer will be wrong.
So, given,
Height of small giraff= 4m
= 4 x 4 x4 = 216m^3
Height of big giraff= 6m
= 6x 6 x6 = 64 m^3
Volume of big giraff= 5400m^3
and, let the volume of small giraffe be 'x' m^3.
Now. we know,
the formula of similarity,
Height of big giraffe/Height of small giraffe=Volume of big giraffe/Volume of small giraff.
==> 216/64 = 5400/ 'x'
==>216x =345600
==> x =1600
Therefore, the volume of the small giraff is 1600 m^3. less
Noorjahan Binte FarhanaThere is given Small and tall giraffe height. And the tall giraffe volume is 5400 meter queb. volume= length × width × height.
consume the length X and width Y for tall and small giraffe
so, for tall giraffe... moreThere is given Small and tall giraffe height. And the tall giraffe volume is 5400 meter queb. volume= length × width × height.
consume the length X and width Y for tall and small giraffe
so, for tall giraffe X*Y*6=5400
XY=5400/6
XY= 900
Now, for small giraffe volume X*Y*4
900*4=3600 [ we have find out XY=900]
The tall giraffe is 1.5 tall more than small giraffe.
as, 3600*1.5=5400
August 1, 2021
Jesmin Akhtergiven,
Bigger giraff height = 6m
And the volume of bigger giraff = 5400m^3
we know a formula... moregiven,
Bigger giraff height = 6m
And the volume of bigger giraff = 5400m^3
we know a formula that,
volume = lenght * wide * hight
let, lenght = a, wide = b
so, volume = lenght * wide * hight
=> 5400m^3 = a * b * 6m
=> ab = 5400m^3 / 6m
=> ab = 900m^2 ...........(i)
given, Smaller giraff hight = 4m
know we have to be findout the volume of smaller giraff.
let, volume of smaller giraff = x
leangth = a
wide = b
we know,
valume = length * wide * hight
=> x = ab * 4m
=> x = 900m^2 * 4m [ puting the value of a and b from equation... less
August 1, 2021
Nur E ferdus Monika matinAt first, it is mentioned that both giraffes are similar. That means the ratio of height, length,
width, and the dimension of each part will be the same for the two Giraffe. The volume of a
three dimensional figure is- volume= length X width X height so,... moreAt first, it is mentioned that both giraffes are similar. That means the ratio of height, length,
width, and the dimension of each part will be the same for the two Giraffe. The volume of a
three dimensional figure is- volume= length X width X height so, Volume(Small)/Volume
(Large)=Length(s)×width(s)×Height(s)/Length×width×Height
Height(s)/Height=4/6=2/3 So, Length(s)/ Length=2/3 and width(s)/width=2/3
Volume(Small)/Volume (Large)= (2/3) ×(2/3)×(2/3) Volume(Small)= (8/27)× Volume (Large)
= (8/27) × 5400 m^3 = 1600 m^3 This formula will work because If we calculate volume part
by part and make a sum to get the total volume of the small giraffe as it is irregular-shaped,
it will remain unchanged because each part maintains the same ratio of 2/3 with the large
Giraffe as both are similar. less
(Volume of smaller/ volume of larger) = (height of smaller/... more
The formula for calculating volume is: V=L*W*H where L is length, W is width and H is height. As you can see in the diagram... more
Suppose,the volume of smaller one = x
Ratio of their Heights => 4/6= 2/3
Again,if we cube... more
Height of smaller giraffe, Hsmall=4m
Volume of bigger giraffe, Vbig=5400m3
Volume of smaller giraffe, Vsmall=X... more
Then why this will... more
This method will work when all the sides are of the same length. Then, we can find the volume of a cube just knowing the measurement of only one side. If a cube has side length "x" then Volume = x × x × x a which results in... more
In question, it represents the subject of ‘similarity statistics’. This means that the ratio of height, length, and width will be the same.
In the equation, we are seeing that the dimension of both the values are different which... more
consume the length X and width Y for tall and small giraffe
so, for tall giraffe... more
Bigger giraff height = 6m
And the volume of bigger giraff = 5400m^3
we know a formula... more
width, and the dimension of each part will be the same for the two Giraffe. The volume of a
three dimensional figure is- volume= length X width X height so,... more