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A
c
B)
D
The surface area of a cube is
294in^(2).
What is the length, in inches, of one side of the cube?
A) 6
B) 7
C) 8

A $\newline$ c $\newline$ B) $\newline$ D $\newline$ The surface area of a cube is $294 \mathrm{in}^{2}$ . $\newline$ What is the length, in inches, of one side of the cube? $\newline$ A) $6$ $\newline$ B) $7$ $\newline$ C) $8$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A

\newline

c

\newline

B)

\newline

D

\newline

The surface area of a cube is

294 \mathrm{in}^{2}

.

\newline

What is the length, in inches, of one side of the cube?

\newline

A)

6

\newline

B)

7

\newline

C)

8

Calculate Surface Area of Cube: The surface area of a cube is the sum of the areas of all six faces, which are all squares of the same size. So, the area of one face is the total surface area divided by $6$ .
Find Area of One Face: Surface area of one face = Total surface area / $6$ = $294 \, \text{in}^2 / 6$
Calculate Side Length: Surface area of one face = $49\,\text{in}^2$
Calculate Side Length: Surface area of one face = $49\,\text{in}^2$ The area of one face of a cube is also equal to the side length squared ( $s^2$ ). So, if the area of one face is $49\,\text{in}^2$ , then the side length is the square root of $49$ .
Calculate Side Length: Surface area of one face = $49\,\text{in}^2$ The area of one face of a cube is also equal to the side length squared ( $s^2$ ). So, if the area of one face is $49\,\text{in}^2$ , then the side length is the square root of $49$ . Side length = $\sqrt{49} = 7$ inches

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