Question

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Answer 1

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is $V = \frac{1}{3}(l*w*h)$

• 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: $\frac{3V}{lw} =h$

Now we can plug in the given values:

• $\frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in$
• The height is 9 inches