Module 11 Geometry
Learn how to calculate the volume and surface area of a cube using simple geometry formulas. Includes clear examples and step-by-step explanations—perfect for Prealgebra and early Geometry students.
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Prealgebra
Module 11: Geometry
Finding the Volume and Surface Area of a Cube
Learning Outcomes
Find the volume and surface area o f a cube
A cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube., below. Substituting, s for the
length, width and height into the formulas for volume and surface area o f a rectangular solid, we get:
V = L W H
V = js ■ s ■ s
V = s:1
S = 2 L H + 2 Z i r + 2 W H
S = 2s ■ s + 2s ■ s 4- 2s ■ s
S = 2 s2 + 2s2 + 2s2
S = 6s2
So for a cube, the formulas for volume and surface area are
V = v 5
and
S — 6 s2
Volume and Surface Area of a Cube
For any cube with sides o f length
s
Volume: V « s3
Surface Area: 5 = 6s2
example
A cube is
2.5
inches o n each side. Find its 1. volume and 2. surface area.
Module 11: Geometry
Finding the Volume and Surface Area of a Cube
Learning Outcomes
Find the volume and surface area o f a cube
A cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube., below. Substituting, s for the
length, width and height into the formulas for volume and surface area o f a rectangular solid, we get:
V = L W H
V = js ■ s ■ s
V = s:1
S = 2 L H + 2 Z i r + 2 W H
S = 2s ■ s + 2s ■ s 4- 2s ■ s
S = 2 s2 + 2s2 + 2s2
S = 6s2
So for a cube, the formulas for volume and surface area are
V = v 5
and
S — 6 s2
Volume and Surface Area of a Cube
For any cube with sides o f length
s
Volume: V « s3
Surface Area: 5 = 6s2
example
A cube is
2.5
inches o n each side. Find its 1. volume and 2. surface area.
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Mathematics