Q:

please help. i have 2 questions.

Accepted Solution

A:
Hello!

We can first find the volumes

The ratio is 4:17

We can have one shape have all 4's and the other have all 17's

We can do it with a rectangular prism

The equation to find the volume of a rectangular prism is lwh

l is length
w is width
h is height

Put in the values

Shape 1

4 * 4 * 4 = 64

Shape 2

17 * 17 * 17 = 1734

The answer with these numbers is C so the answer is C
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Part 2

V = k x^3
A = c x^2

The larger shape - xb^3 = 1331/k
The smaller shape - xs^3 = 216/k

This can also be written as

(1331/216)^1/3 = 1.8333...

(1331^2/216^2)^1/3 = 3.361111

484/3.36111 = 144

The answer is C

Hope this helps!