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horrorfan [7]
3 years ago
14

a pyramid has a volume of 1944 in and a rectangular base with the dimensions of 18 and 9 in what is the height of the pyramid​

Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

The height is 36 in

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a rectangular based pyramid.

Step one

Given data

Volume v =  1944 in

length of base l =  18 in

width of base w = 9 in

Height h=   ?

Step two

we know that the expression for the volume of a pyramid is given as

volume=\frac{ lwh}{3}

substituting our given data we have

volume = \frac{18*9*h}{3} \\volume = \frac{162h}{3} \\volume= 54h

but volume = 1944 in therefore

1944= 54h\\h= \frac{1944}{54} \\h= 36 in

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