a right square prism has a volume of 360 cubic units. which could be the dimensions, in units, of the prism…

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - prism (a right - square prism is a type of rectangular prism) is $V = l\times w\times h$. We need to check each option by multiplying the three given dimensions.

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, $V = 4\times4\times20=16\times20 = 320\neq360$.

Step4: Check option 3

For dimensions 5 by 5 by 14, $V=5\times5\times14 = 25\times14=350\neq360$.

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:

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