Question

A box of golf balls is a rectangular prism that is 2 in, by 4 in by 6 in. If the box contains 3 golf balls, each with a

diameter of 3 in, how much empty space is inside the box.

Answer 1

Volume of rectangular prism

`= l * b * h`

`= 2 * 4 * 6`

`= 48 {in}^(3)`

Volume of a golf ball

`= (4)/(3) \pi {r}^(3)`

`= (4)/(3) * ( {(3)/(2) })^( 3) * \pi`

`= (4)/(3) * (9)/(4) * \pi`

`= (1)/(3) * (9)/(1) * \pi`

`= 3\pi`

`= 3 * 3.14`

`= 9.42 {in}^(3)`

Volume of 3 golf balls

`= 3 * 9.42`

`= 28.26 {in}^(3)`

Empty space remaining

= Volume of the prism - Volume of the balls

`= 48 - 28.26`

`= 19.74 {in}^(3)`