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 rectangles on the top and bottom as bases.

Question

95 cm2 95 cm2 112 cm2 112 cm2 137 cm2 137 cm2 104 cm2

Answer 1

To find the lateral area of the box, we need to find the area of the four smaller rectangles on the sides of the box.

Each of the smaller rectangles has dimensions of 15 cm x 5 cm (the height of the larger rectangle minus the height of the smaller rectangle).

So, the area of each smaller rectangle is 15 cm x 5 cm = 75 cm^2.

Since there are 4 smaller rectangles, the total area of all four is 4 x 75 cm^2 = 300 cm^2.

Therefore, the lateral area of the box is 300 cm^2.