Question

the volume of a rectangular prism is 2.5 cubic feet. the prism has a height of 15 inches. what is the area, in square inches, of the base of the prism? unit conversion table 1 ft³ = 1,728 in.³ 1 ft² = 144 in.² 1 ft = 12 in. type the number in the box. square inches

Explanation:

Step1: Convert volume to cubic - inches

Since \(1\ ft^{3}=1728\ in^{3}\), for a volume of \(2.5\ ft^{3}\), the volume \(V\) in cubic - inches is \(V = 2.5\times1728=4320\ in^{3}\).

Step2: Use volume formula

The volume formula for a rectangular prism is \(V = Bh\), where \(B\) is the area of the base and \(h\) is the height. Given \(h = 15\) inches and \(V = 4320\ in^{3}\). We can solve[SSE Completed, Client Connection Error][LLM SSE On Failure]

Answer:

345.6