Question

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

A rectangular pyramid with base of 12 inches by 10 inches and a height of h.
1 in.
3 in.
6 in.
9 in.

Answer 1

Explanation:

d

Answer 2

9 inches

Explanation:

The formula for the volume of a rectangular pyramid is
`V = (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:
  `(3V)/(lw) =h`

Now we can plug in the given values:

• 
  `(3(360in^(3)) )/((12 in)(10in)) =(1080in^(3) )/(120in^(2) ) = 9in`
• The height is 9 inches