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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.

User Kaysha
by
8.1k points

2 Answers

5 votes

Answer:

Explanation:

d

User Ajin
by
7.4k points
2 votes

Answer:

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
User Eveo
by
8.3k points

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