To find the surface area of the original cereal box, we need to calculate the area of each side and then add them all together.
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(3*1) + 2(3*4) + 2(1*4)
Surface Area = 2(3) + 2(12) + 2(4)
Surface Area = 6 + 24 + 8
Surface Area = 38 square inches
Since the redesigned cereal box will be a cube with the same surface area, we need to find the length of each side of the cube.
The formula for the surface area of a cube is 6s^2, where s is the length of each side.
So, 6s^2 = 38
s^2 = 38/6
s^2 = 6.33
s = sqrt(6.33)
s = 2.52
Therefore, the length of each side of the cube will be approximately 2.5 inches.
The correct 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?
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2 points
2.3 inches
2.5 inches
3.5 inches
4 inches
1 answer
1 answer