Final answer:
The surface area of a juice box with dimensions of 4 inches by 3 inches by 2 inches is found by calculating the area of each side and summing them up, resulting in a total surface area of 52 square inches.
Step-by-step explanation:
To calculate the surface area of a juice box that is 4 inches high, 3 inches long, and 2 inches wide, you will need to find the area of each side of the box and then sum them up.
The box has six sides, each of which is a rectangle. The areas of the rectangles are:
Front/Back: Height x Width = 4 in. x 2 in. = 8 in.² (each)
Left/Right: Height x Length = 4 in. x 3 in. = 12 in.² (each)
Top/Bottom: Length x Width = 3 in. x 2 in. = 6 in.² (each)
Add the areas of all six sides to get the total surface area:
Front + Back + Left + Right + Top + Bottom = 2(8 in.²) + 2(12 in.²) + 2(6 in.²) = 16 in.² + 24 in.² + 12 in.² = 52 in.²
Therefore, the total surface area of the juice box is 52 square inches.