143k views
0 votes
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?

User Inge
by
8.2k points

1 Answer

13 votes

Answer:

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!

User Kasey Speakman
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories