7. A travel-size cereal box has dimensions of 3 in. x 1.5 in. *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) 3.2 in 6.4 in 2.2 in 2.9

1 answer

in

To find the surface area of the cereal box, we use the formula for the surface area of a rectangular prism, which is 2lw + 2wh + 2lh.

Surface area = 2(3)(1.5) + 2(1.5)(4.5) + 2(3)(4.5)
Surface area = 21.5 in^2

To find the length of each side in the cube with the same surface area, we use the formula for the surface area of a cube, which is 6s^2, where s is the length of each side.

6s^2 = 21.5
s^2 = 3.58
s ≈ 1.89 in

Therefore, the length of each side in the cube would be approximately 1.89 inches.