Answer:
9 inches
Step-by-step explanation:
The formula for the volume of a rectangular pyramid is [tex]V = \frac{1}{3}(l*w*h)[/tex]
- Here we have volume (V), base (L), and width (W)
- V = 360 in³, L = 12 in, W = 10 in
We need to manipulate the volume equation to solve for the height (H)
- First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
- Then we need to divide both sides by (L×W) to get: [tex]\frac{3V}{lw} =h[/tex]
Now we can plug in the given values:
- [tex]\frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in[/tex]
- The height is 9 inches
