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

To find the total volume of the box, you will find the volumes of each separate piece.

Use the formulas for finding the volumes of each:

V = 1/3 Bh (pyramid);  B stands for the area of the base shape
      1/3 x 8 x 8 x 3
V = 64 cubic inches

V = Bh (prism)
      8 x 8 x 4
V = 256 cubic inches

256 + 64 = 320 cubic inches

The total volume of the box is 320 cubic inches.