A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagram is not drawn to scale.
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)
Responses
69 cm2; 307 cm2
69 cm 2 ; 307 cm 2
69 cm2; 392 cm2
69 cm 2 ; 392 cm 2
137 cm2; 307 cm2
137 cm 2 ; 307 cm 2
137 cm2; 392 cm2
To find the lateral area, start with the formula for the lateral area of a rectangular prism: 2h(l + w). The height (h) is 5 cm and the length (l) is 17 cm.
Lateral area = 2(5)(17) = 170 cm^2
To find the surface area, first find the area of the rectangular bases: 17 cm * 5 cm = 85 cm^2 for each base.
Surface area = 2(85) + 170 = 340 + 170 = 510 cm^2
Therefore, the correct answer is:
69 cm^2; 307 cm^2