
Steven B. answered 01/29/19
Friendly and Professional STEM Tutor
Hi Romeo!
Ok, so to find the volume of a rectangular prism, we multiply the length x width x height. The question tells us that the base is 36 cm x 12 cm and that the total volume is 6912 cm^3.
First, plug in our known values to our l*w*h=volume equation and simplify.
36cm x 12cm x height = 6912cm^3
432cm^2 x height = 6912 cm^3
now, divide both sides by 432 cm^2 to solve for height.
height= 6912cm^3/432cm^2 = 16cm.
The height is 16 cm.
Hope that helped!