A family is building a firepit for their yard that is shaped like a rectangular prism. They would like for the firepit to have a volume of 134.4 ft3. If they already have the length measured at 6.4 feet and the height at 3 feet, what is the width needed to reach the desired volume?

Answer 1

To calculate the width needed to reach the desired volume, we can use the formula for the volume of a rectangular prism:

Volume = Length x Width x Height

Given:
Length = 6.4 ft
Height = 3 ft
Volume = 134.4 ft3

Substitute the given values into the formula:

134.4 = 6.4 x Width x 3

Simplify the equation:

134.4 = 19.2 x Width

To find the width, divide both sides by 19.2:

Width = 134.4 / 19.2
Width = 7

Therefore, the family will need a width of 7 feet to reach the desired volume of 134.4 ft3 for their firepit.