Question

a right square prism has a volume of 360 cubic units. which could be the dimensions, in units, of the prism? select three options. 3 by 3 by 40 4 by 4 by 20 5 by 5 by 14 2.5 by 12 by 12 3.6 by 10 by 10

Explanation:

Step1: Calculate volume for each option

For a right - square prism, the volume formula is \(V = l\times w\times h\).

Option 1: \(3\) by \(3\) by \(40\)

\(V=3\times3\times40 = 9\times40=360\)

Option 2: \(4\) by \(4\) by \(20\)

\(V = 4\times4\times20=16\times20 = 320\)

Option 3: \(5\) by \(5\) by \(14\)

\(V=5\times5\times14 = 25\times14=350\)

Option 4: \(2.5\) by \(12\) by \(12\)

\(V=2.5\times12\times12=(2.5\times12)\times12 = 30\times12=360\)

Option 5: \(3.6\) by \(10\) by \(10\)

\(V=3.6\times10\times10=(3.6\times10)\times10=36\times10 = 360\)

Answer:

3 by 3 by 40, 2.5 by 12 by 12, 3.6 by 10 by 10