Question

Find the volume of a pyramid with a square base, where the side length of the base is 6.6\text{ in}6.6 in and the height of the pyramid is 7.7\text{ in}7.7 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

Answer:

4.4 in^3

Step-by-step explanation:

Answer 2

The volume of the square pyramid is 111.5 cubic inches.

What is a square pyramid?

"A square-pyramid, also known as a pentahedron, has 5 faces. 4 of these faces are triangular, and 1 face (the polygon base it sits on) is square".

For the given situation,

The base of the square pyramid, a = 6.6 inches

The height of the square pyramid, h = 7.7 inches

The formula for the volume of the square pyramid, V = a^2(h/3)

On substituting the above values,

$V=(6.6)^{2}(\frac{7.7}{3} )$

⇒ $V=43.56(2.56)$

⇒ $V=111.51$ ≈ $111.5$

Hence we can conclude that the volume of the square pyramid is 111.5 cubic inches.

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