Question
7. The surface area of a cube is 2400 square units. Find the side length of the cube, \( s \). Reminder Surface Area of a cube \( =6 s^{2} \).
Ask by Kelley Wade. in the United States
Mar 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The side length of the cube is 20 units.
Solution
We know the surface area of a cube is given by the formula:
Surface Area = 6s²
Given that the surface area is 2400 square units, we have:
6s² = 2400
Step 1: Solve for s² by dividing both sides by 6:
s² = 2400 / 6 = 400
Step 2: Take the square root of both sides to find s:
s = √400 = 20
Therefore, the side length of the cube is 20 units.
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Simplify this solution Bonus Knowledge
To find the side length of the cube, start with the formula for the surface area of a cube, \( 6s^2 = 2400 \). Dividing both sides by 6 gives us \( s^2 = 400 \). Taking the square root of both sides, we find that \( s = 20 \) units. So, each edge of the cube measures 20 units long! Now, think of it this way: if each side of a cube measures 20 units, imagine that you could wrap a gift that's 20 units long on each edge. You'd have an inviting box ready for a special surprise, and knowing how to find that side length means you're one step closer to perfecting your gift-wrapping skills!
