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 combined volume, you will find the volume of each figure separately and then add them together.  You will use the formulas for each polyhedra (3-D) shape.

V = 1/3 Bh (pyramid); B stands for the area of the base of the figure
V = 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.