To find the surface area of the original rectangular cereal box, we use the formula:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(3)(1) + 2(3)(4) + 2(1)(4)
Surface Area = 6 + 24 + 8
Surface Area = 38 square inches
Since we want the cube to have the same surface area, we calculate the surface area of a cube using the formula:
Surface Area = 6s^2
38 = 6s^2
6.33 = s^2
s = √6.33
s ≈ 2.52 inches
Therefore, the length of each side of the cube would be approximately 2.5 inches.
The answer is: 2.5 inches
A travel-size cereal box has dimensions of 3 in. x 1 in. x 4 in.
If it is redesigned to be a cube with the same surface area, what would be the length of each side in the cube?
*
2.3 inches
2.5 inches
3.5 inches
4 inches
1 answer
1 answer