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A right pyramid has a square base 9 metres and is 20 metres high. a. find its volume b. If the...

      

A right pyramid has a square base 9 metres and is 20 metres high.
a. find its volume
b. If the pyramid is cut at a height of 10 metres, find the volume of the frustum formed.

  

Answers


joseph
a. Volume of a pyramid = 1/3 x base area x height
=1/3 x 9 x9 x 20
= 540 m^3
b. The volume of the pyramid cut from the larger one
Volume of a pyramid = 1/3 x base area x height
From the ratio of the two heights thus
h1/h2 =10/20
L1/L2 =X/9
X/9 = 10/20
X =4.5 m
Volume of the small pyramid
=1/3 x 4.5 x 4.5 x 10
= 67.50 m^3
Volume of the frustum
=540 – 67.50
=475.50 m^3

joseph rimiru answered the question on October 2, 2017 at 15:20


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