Question

A rectangle prism with a length of 12.5 cm and a width of 7.5 cm has a

volume of 937.50 cm?. What is the height of the rectangular prism?

Answer 1

Height = 10 cm

Explanation:

To find the height of the rectangular prism, we need to use the volume equation of rectangular prisms:

V = l * w * h

l = length

w = width

h = height

We know the length (12.5 cm), width (7.5 cm), and the volume (937.50
`cm^(3)`).

Plug all these into the equation and solve for the height:

937.50 = (12.5)(7.5)h

937.50 = 93.75h Multiply 12.5 by 7.5

10 = h Divide 937.50 by 93.75 to get h.

Therefore, the height of the rectangular prism is 10 cm.

Let's check our answer by plugging all values into the volume equation:

937.50 = (12.5)(7.5)(10)

937.50 = 93.75 (10)

937.50 = 937.50 Both values are equal so 10 is correct!

I hope this helps! Good luck!