Question

the volume of this rectangular prism is 1,400 cubic inches. what is the value of a? a = inches submit

Explanation:

Step1: Recall the volume formula

The volume formula for a rectangular prism is \(V = l\times w\times h\). Here, \(V = 1400\) cubic inches, \(l = 20\) inches, \(h = 10\) inches, and \(w=a\).

Step2: Substitute values into the formula

Substitute the known values into the formula: \(1400=20\times a\times10\).
First, simplify the right - hand side: \(20\times10\times a = 200a\). So the equation becomes \(200a=1400\).

Step3: Solve for \(a\)

Divide both sides of the equation \(200a = 1400\) by \(200\). Using the formula \(a=\frac{1400}{200}\).

Answer:

\(7\)