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

$= l \times b \times h$

$= 2 \times 4 \times 6$

$= 48 {in}^{3}$

Volume of a golf ball

$= \frac{4}{3} \pi {r}^{3}$

$= \frac{4}{3} \times ( {\frac{3}{2} })^{ 3} \times \pi$

$= \frac{4}{3} \times \frac{9}{4} \times \pi$

$= \frac{1}{3} \times \frac{9}{1} \times \pi$

$= 3\pi$

$= 3 \times 3.14$

$= 9.42 {in}^{3}$

Volume of 3 golf balls

$= 3 \times 9.42$

$= 28.26 {in}^{3}$

Empty space remaining

= Volume of the prism - Volume of the balls

$= 48 - 28.26$

$= 19.74 {in}^{3}$