Volumne of a Pyramid

Volumne of a Pyramid

How to find the volume of a pyramid: formula, examples, and their solutions.

Formula

V = (1/3)Bh, V: volume of a pyramid, B: base area, h: height of the pyramid

V = (1/3)Bh

V: volume of a pyramid
B: base area
h: height of the pyramid

Example 1

Find the volume of the given pyramid. The sides of the base: 7, 4. Height: 9.

To use the formula,
find B and h.

B = 7⋅4 = 28

Area of a rectangle

h = 9

B = 28, h = 9

V = (1/3)⋅28⋅9

Example 2

Find the volume of the given pyramid. The perpendicular edges: 8, 9, and 10.

To use the formula,
find B and h.

B = (1/2)⋅9⋅8 = 36

Area of a triangle

h = 10

B = 36, h = 10

V = (1/3)⋅36⋅10