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$A=6s^2$ The formula gives the surface area $A$ of a cube with side length $8$ . What is the surface area of a cube with side length of $\frac{3}{8}$ units?

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Volume of cubes and rectangular prisms: word problems

Full solution

Q.

A=6s^2

The formula gives the surface area

A

of a cube with side length

8

. What is the surface area of a cube with side length of

\frac{3}{8}

units?

Identify formula and substitute: Step $1$ : Identify the formula and substitute the given side length. $\newline$ Formula for surface area of a cube: $A = 6s^2$ . $\newline$ Substitute $s = \frac{3}{8}$ units. $\newline$ Calculation: $A = 6 \times \left(\frac{3}{8}\right)^2$
Simplify the expression: Step $2$ : Simplify the expression. $\newline$ Calculation: $A = 6 \times \left(\frac{9}{64}\right)$ $\newline$ $A = \frac{54}{64}$ $\newline$ $A = \frac{27}{32}$ square units.

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