A department store sells small boxes in which customers can store potpourriThe diagram below shows one of the boxes. The diagram is not drawn to scale 3.12 cm 5 cm 17 cm What are the lateral area and the surface area of the box to the nearest whole number ? Use the large 17 cm 5 cm rectangles on the top and bottom as the bases (1 point) 69c * m ^ 2; 307c * m ^ 2; 69c * m ^ 2; 392c * m ^ 2; 137c * m ^ 2 * 307c * m ^ 2; 137c * m ^ 2 * 392c * m ^ 2

Answer 1

First, let's calculate the lateral area of the box:
Lateral area = perimeter of the base x height
Perimeter of the base = 2(5cm + 3.12cm) = 16.24cm
Height of the box = 17cm
Lateral area = 16.24cm x 17cm = 276.08cm^2

Next, let's calculate the total surface area of the box:
Total surface area = lateral area + 2(base area)
Base area = 5cm x 3.12cm = 15.6cm^2
Total surface area = 276.08cm^2 + 2(15.6cm^2) = 276.08cm^2 + 31.2cm^2 = 307.28cm^2

Therefore, the lateral area of the box is 276cm^2 and the total surface area is 307cm^2. So the answer is:
69cm^2; 307cm^2.