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
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.