Question

10 the volume of a right rectangular prism is found by multiplying the length of the base by the width of the base of the height of the prism. a right rectangular prism has a volume of 30 cubic inches. if the height of the prism is 6 inches, what is the area of the base of the prism? (a) 5 square inches (b) 24 square inches (c) 96 square inches (d) 180 square inches

Explanation:

Step1: Recall the volume formula

The volume formula for a right - rectangular prism is \(V = l\times w\times h\), where \(l\times w\) is the area of the base \(B\) (since \(l\) is the length of the base and \(w\) is the width of the base), so \(V=B\times h\).

Step2: Solve for the area of the base

We know that \(V = 30\) cubic inches and \(h = 6\) inches. From \(V = B\times h\), we can solve for \(B\) by rearranging the formula: \(B=\frac{V}{h}\).
Substitute \(V = 30\) and \(h = 6\) into the formula: \(B=\frac{30}{6}\).

Answer:

A. 5 square inches