Question

Sasha's grandmother loves to travel. She sends Sasha postcards from all around the world. Sasha keeps the postcards in a special box. The box has a square base and a square pyramid for a lid.What is the combined volume inside the box and lid?

Answer 1

The combined volume is 320 cu. in.

The volume of the bottom of the box is given by the formula

V = lwh

In this situation, we have
V=8(8)(4) = 256 cu. in.

The volume of the top is given by the formula
V = 1/3lwh

For this situation, we have
V=1/3(8)(8)(3) = 64 cu. in.

Together, this makes
256+64 = 320 cu. in.