Question

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Find the surface area of a cube with side lengths of 2 meters.
Use the formula SA= 6s², where s =side lengths (This is algebra)
A: 10 square meters
B: 64 square meters
C: 144 square meters
D: 24 square meters

Answer 1

D) 24 square meters

Explanation:

A cube is a three-dimensional geometric shape with six identical square faces. Therefore, the surface area of a cube is the total area of all six square faces.

As the area of a square is equal to the square of its side length, the formula for the surface area of a cube is SA = 6s², where s is the length of one side.

In this case, s = 2 meters. So, to find the surface area of a cube with side length of 2 meters, substitute s = 2 m into the formula:

`\begin{aligned}\sf SA&=\sf 6 \cdot (2\; m)^2\\&=\sf 6 \cdot 2^2\cdot m^2\\&=\sf 6 \cdot 4 \cdot m^2\\&=\sf 24 \sf \; square\;meters\end{aligned}`

Therefore, the surface area of the cube is 24 square meters.