In order to find the length of each side in the cube, we must first calculate the surface area of the original travel-size cereal box.
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(3)(1.5) + 2(3)(4.5) + 2(1.5)(4.5)
Surface Area = 9 + 27 + 13.5
Surface Area = 49.5 square inches
We then set the surface area equal to the surface area of the cube and solve for the length of each side:
Surface Area of Cube = 6s^2
49.5 = 6s^2
s^2 = 8.25
s = √8.25
s ≈ 2.9
Therefore, the length of each side in the cube would be approximately 2.9 inches.
A travel-size cereal box has dimensions of 3 in. x 1.5 in. x 4.5 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 points)
Responses
2.9 in
2.9 in
3.2 in
3.2 in
2.2 in
2.2 in
6.4 in
1 answer
1 answer