3. A jewelry store has small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. What is the lateral area of the box to the nearest whole number? Use the large 15 cm x 8 cm x 2.26cm rectangles on the top and bottom as bases.
95 cm2 95 cm2 112 cm2 112 cm2 137 cm2 137 cm2 104 cm2
To find the lateral area of the box, we need to find the area of all the sides except the top and bottom rectangles.
The dimensions of the box are 15 cm x 8 cm x 2.26 cm.
The front and back sides have dimensions 15 cm x 2.26 cm = 33.9 cm^2 each.
The left and right sides have dimensions 8 cm x 2.26 cm = 18.08 cm^2 each.
Adding all four sides together, the lateral area of the box is 33.9 cm^2 + 33.9 cm^2 + 18.08 cm^2 + 18.08 cm^2 = 103.96 cm^2.
Rounded to the nearest whole number, the lateral area of the box is 104 cm^2.
Therefore, the correct answer is 104 cm2.