How to calculate the height of a square based pyramid

Asked by admin @ 10/11/2021 in Mathematics viewed by 344 People

Calculate the volume of a square-based pyramid with an altitude height of 6 ft and base edges of 8 ft. A 64ft3 B 128ft3 C 192ft3 D 384ft3

Answered by admin @ 10/11/2021

Answer:

B.) $128ft^3$

Step-by-step explanation:

The base of the pyramid is square shaped with given edge and altitude:

So, the pyramid is a Right square pyramid.

Height of the pyramid(h)= $6 feet$

Edge of the base(a)= $8 feet$

Volume of a right square pyramid(V)= $a^2*\frac{h}{3}$

Putting the given values in the formula:

Volume=

volume of pyramid= $8*8*\frac{6}{3} \\\\64*2\\\\128 ft^3$

The volume of the square based pyramid is $128ft^3$

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