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Paul [167]
2 years ago
15

A rectangle made of square tiles measures 7 tiles long and 3 tiles wide. what is the length of a similar rectangle whose width i

s 9 tiles
Mathematics
1 answer:
Norma-Jean [14]2 years ago
6 0
The length of the rectangle would be 21

Proportion to set it up would be 7/3 x X/9 cross multiply and solve for x which is 21
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The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
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Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root. 

∛125 = 5
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Surface area of a cube = 6x². So now we plug both of these measurements into the formula. 

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
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