Question

What is the volume of a box that has a length of 18 inches, a width of 1 foot and a height of 1/3? You can give your solution in cubic feet or in cubic inches.

Answer 1

Given data

Length = 18 inches

Width = 1 foot

Height = 1/3 foot

First, make sure all dimensions have the same unit.

Foot to inches conversion

1 foot = 12 inches

Therefore,

18 inches = 18/12 feet = 3/2 foot

`\begin{gathered} Length\text{ = }(3)/(2)\text{ ft} \\ \text{Width = 1 ft} \\ Height\text{ = }(1)/(3)\text{ ft} \\ \text{Volume = Length x Width x Height} \\ =\text{ }(3)/(2)\text{ }*\text{ 1 }*\text{ }(3)/(2) \\ =\text{ }(9)/(4) \\ =\text{ 2}(1)/(4)ft^3 \end{gathered}`