Question

A solid right pyramid has a square base. The length of the

base edge is 4 cm and the height of the pyramid is 3 cm.
What is the volume of the pyramid?
12 cm
16 cm
32 cm
48 cm
4 cm
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Answer 1

The volume of the pyramid is 16 cm³.

Explanation:

The volume of squared-base pyramid is given by the formula:

`V=A* (h)/(3)`

Here,

V = volume of the squared-base pyramid

A = area of the square base

h = height of the pyramid.

The information provided is:

a = side of square = 4 cm

h = 3 cm

Compute the area of the square base as follows:

`A=a^(2)\\=4^(2)\\=16\ \text{cm}^(2)`

Compute the volume of squared-base pyramid as follows:

`V=A* (h)/(3)`

`=16* (3)/(3)\\\\=16`

Thus, the volume of the pyramid is 16 cm³.