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 3 by 3 by 40

Volume formula for a prism \(V = l\times w\times h\). For \(l = 3\), \(w = 3\), \(h = 40\), \(V=3\times3\times40=360\)

Step2: Calculate volume for 4 by 4 by 20

For \(l = 4\), \(w = 4\), \(h = 20\), \(V = 4\times4\times20=320
eq360\)

Step3: Calculate volume for 5 by 5 by 14

For \(l = 5\), \(w = 5\), \(h = 14\), \(V=5\times5\times14 = 350
eq360\)

Step4: Calculate volume for 2.5 by 12 by 12

For \(l = 2.5\), \(w = 12\), \(h = 12\), \(V=2.5\times12\times12=360\)

Step5: Calculate volume for 3.6 by 10 by 10

For \(l = 3.6\), \(w = 10\), \(h = 10\), \(V=3.6\times10\times10=360\)

Answer:

A. 3 by 3 by 40, D. 2.5 by 12 by 12, E. 3.6 by 10 by 10