Question

Given a cube with a surface area of 3465 square mm, what is the length of one side?

A. 24 mm
B. 29.29 mm
C. 20.78 mm
D. 9.80 mm

Answer 1

To find the length of one side of the cube, you can use the formula for the surface area of a cube. By solving the equation, you find that the length of one side is approximately 24 mm.

Step-by-step explanation:

To find the length of one side of the cube, we need to find the side length. The surface area of a cube is given by the formula: SA = 6s^2, where SA is the surface area and s is the side length. We are given the surface area of the cube as 3465 square mm. So, we can set up the equation:

3465 = 6s^2

Dividing both sides by 6, we get:

577.5 = s^2

Taking the square root of both sides, we get:

s ≈ 24 mm

Therefore, the length of one side of the cube is approximately 24 mm, so the correct answer is A. 24 mm.