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: Recall volume formula for prism

The volume \(V\) of a right - square prism is \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width and \(h\) is the height. Since it is a square prism, \(l = w\) in some cases. We need to check each option by calculating the product of the three numbers.

Step2: Check option 1

For dimensions 3 by 3 by 40, \(V=3\times3\times40 = 9\times40=360\).

Step3: Check option 2

For dimensions 4 by 4 by 20, \(V = 4\times4\times20=16\times20 = 320
eq360\).

Step4: Check option 3

For dimensions 5 by 5 by 14, \(V=5\times5\times14 = 25\times14=350
eq360\).

Step5: Check option 4

For dimensions 2.5 by 12 by 12, \(V=2.5\times12\times12=2.5\times144 = 360\).

Step6: Check option 5

For dimensions 3.6 by 10 by 10, \(V=3.6\times10\times10=360\).

Answer:

1. 3 by 3 by 40
2. 2.5 by 12 by 12
3. 3.6 by 10 by 10