The Volume of Pyramid r is 48 cu. inches
In the given statement is ,
Pyramid q has a rectangular base and a volume of 96 cubic inches. Pyramid r has a rectangular base that is one-half the base area of pyramid q and a height that is 3 times the height of pyramid q.
To find the Volume of Pyramid
Now, According to the question:
Pyramid q with rectangle base area A1 , height h1 and Volume V1 = 96 cubic inches
Pyramid r with rectangle base area A2 = 1/2 A1 and Volume V2 = ?
r's height h2 = 3 x h1
Using the Volume formula for Pyramid, V1 = A1 x h1 = 96
and A1 = 96/h1
V2 = 1/3 A2 x h2 = 1/3 x 1/2 A1 x h1
Then, V2 = 1/6 (96/h1) 3h1 = 48 cubic inches
Hence, The Volume of Pyramid r is 48 cu. inches
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