Mathematics: 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.

If the volume of the pyramid shown is 360 inches - id3606631675, catuchaljean1623

violetmeadow4

27.01.2022

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×HThen 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

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buddyclayjohnson

29.07.2020

GOOD JOBBB

Step-by-step explanation: it is two forty if you add

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