Question

A square pyramid of height 8 inches has a volume of 704 cubic inches. If the volume of a similar square pyramid is 88 cubic inches, what is its height?

1 inch
2 inches
4 inches
8 inches

Answer 1

What would be the ratio of their volumes?

Answer 2

oh gosh i forgot about using ratios thanks

Answer 3

If we know the ratio of the volumes, we can find the ratio of the dimensions by taking the cube root.

\( {\text{Ratio of volumes:} \frac{a^3}{b^3}\\
\implies \text{Ratio of dimensions:} \frac{a}{b}} \)

Then just use a proportion to find the height of the smaller pyramid:
\( \text{Ratio of dimensions} = \frac{8}{h} \)

Answer 4

Oh, okay. You're welcome! :P