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

`320` inches cubed

Explanation:

Volume of a prism: `Ah` (area of base `A` times height `h`)

In this case, the base is a square with a length/width of 8 inches. That means the area is `8*8` or `8^2`, which equal `64`.

Now multiply that by the height (4): `64*4=256`

Volume of a pyramid: `(Ah)/3`, where `A` represents the area of the base (a square) and `h` represents the height

The base is length times width: `8*8`, or `8^2`, equaling `64`

`(64*3)/3=(64*cancel(3))/cancel(3)=64`

Add the two volumes together: `256+64=320`