Question

A box has a volume of 22 1/2 in³. Find the length of the box!

Answer 1

Length = 2.823 in (to 3 decimal places)

Explanation:

assuming that the box is a cubic box:

volume of box =
`22(1)/(2)` in³ = 22.5 in³

volume = Length × Length × Length = (Length)³

∴ (Length)³ = 22.5

∴ Length = ∛(22.5)

using the calculator punch ∛(22.5), and the answer is:

∴ Length = 2.823 in (to 3 decimal places)