Volume of a Right Prism

Volume of a Right Prism

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

Formula

V = Bh, V: volume of a right prism, B: base area, h: height of the right prism

V = Bh

V: volume of a right prism
B: base area
h: height of the prism

Example 1

Find the volume of the given right prism. Edges: 8, 7, 3.

To use the formula,
find B and h.

B = 7⋅3 = 21

Area of a rectangle

h = 8

B = 21, h = 8

V = 21⋅8

Example 2

Find the volume of the given right prism. Edges: 4, 7.

To use the formula,
find B and h.

B = (√3/4)⋅42 = 4√3

Area of an equilateral triangle

h = 7

B = 4√3, h = 7

V = 4√3⋅7

Example 3

The net of an open box is given below. Find the volume of the box. Edges: 5, 3, 11.

Roughly draw the prism.
Write the edges: 11, 5, and 3.

To use the formula,
find B and h.

B = 11⋅5 = 55

h = 3

B = 55, h = 3

V = 55⋅3