Question

You want to build a sandbox that can hold50,445 cubic inches of sand. If the sandbox is to be59 in. long and57 in. wide, how tall will it need to be?

Answer 1

Volume of sandbox (to be built) = 50,445 cubic inches

A sandbox is the shape of a cuboid and is calculated by the formula

`\text{volume = length }\cdot\text{ wi}\differentialD tth\text{ }\cdot\text{ height }\Rightarrow\text{ v = l }\cdot\text{ w }\cdot\text{ h}`

Volume = Length * Width * Height

Volume = 50,445 cubic inches, Length = 59 in. Width = 57 in, Height = ?

50,445 = 59 * 57 * h

Make h the subject of the formula, we have:

h = 50445 / (59 * 57) = 15 in