Question

Hannah is giving her sister a softball for her birthday, and wants to put it in a cubic gift box to preserve the surprise. She will fill the empty space in the box with packing peanuts so that the softball doesn't roll around. If the volume of the softball is 29 cubic inches, which equation models the relationship between the length of each side of the box (s) and the amount of empty space inside?

A. E(s) = s^3
B. E(s) = s^3 - 29
C. E(s) = Cube root of s - 29
D. E(s) = Square Root of S

Answer 1

B. E(s) = s^3 - 29.

Explanation:

The amount of empty space
`E(s)` inside the cubic box is equal to the volume of the box minus the volume of the softball.

If the side length of the cubic box is
`s`, and the volume of the softball is
`29in^3`, then the amount of empty space
`E(s)` inside is

`E(s) = s^3-29`,

where
`s^3` is the volume of the cubic box.

Since it matches the equation we got above, choice B stands correct.