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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

Define Surface Area: A cube has $6$ equal sides, and the surface area is the sum of the areas of all six sides. So, to find the area of one side, we divide the total surface area by $6$ . $\newline$ Surface Area of one side $=$ Total Surface Area $/$ $6$
Calculate Area of One Side: Now we plug in the given total surface area into the equation. $\newline$ Surface Area of one side = $294 \, \text{in}^2 / 6$
Find Side Length: Calculate the surface area of one side. $\newline$ Surface Area of one side = $49\,\text{in}^2$
Find Side Length: Calculate the surface area of one side. $\newline$ Surface Area of one side = $49 \, \text{in}^2$ Since the area of one side of a cube is equal to the side length squared, we can find the side length by taking the square root of the area of one side. $\newline$ Side length = $\sqrt{\text{Surface Area of one side}}$
Find Side Length: Calculate the surface area of one side. $\newline$ Surface Area of one side = $49 \, \text{in}^2$ Since the area of one side of a cube is equal to the side length squared, we can find the side length by taking the square root of the area of one side. $\newline$ Side length = $\sqrt{\text{Surface Area of one side}}$ Now we calculate the side length. $\newline$ Side length = $\sqrt{49 \, \text{in}^2}$ $\newline$ Side length = $7 \, \text{in}$

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