Question

The volume of a square prism with height of 21 inches and each side of the base s inches is given by the expression 7s2. Find the volume of a square prism if the length of a side is 3 inches

Answer 1

63 cubic inches.

Explanation:

The volume of a prism is given by, A =
`(1)/(3) * (\textrm {Base Area}) * (\textrm {Height})`

The base area for a square prism with sides s inches is s² sq. inches.

So, the volume of a square prism with a height of 21 inches and each side of the base s inches is given by the expression, V = 7s² cubic inches.

Therefore, if s = 3 inches, then volume will be, V = 7(3²) = 63 cubic inches. (Answer)