Answer:
Height = 10 cm
Step-by-step 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 [tex]cm^{3}[/tex]).
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!
