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.

Answer 1

To find the lateral area of the box, we need to find the perimeter of the base and then multiply by the height.

Perimeter of the base = 2(17 cm + 5 cm) = 2(22 cm) = 44 cm

Height = 10 cm

Lateral area = 44 cm * 10 cm = 440 cm²

To find the surface area of the box, we need to add the lateral area to the area of the bases.

Area of the base = 17 cm * 5 cm = 85 cm²
Total surface area = 2(85 cm²) + 440 cm² = 670 cm²

Therefore, the lateral area of the box is 440 cm² and the surface area is 670 cm².