Question
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?
Answers
GPT 3.5
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.
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.