Juana has started making earrings and needs boxes to ship them in. The diagram below shows the dimensions of the box she needs. What is the surface area of the earring box? Round to the nearest whole number. (1 point) Responses 364 cm2 364 cm2 35 cm2 35 cm2 266 cm2 266 cm2 70 cm2 70 cm2 Skip to navigation

The box is 14x7x1.66

1 answer

To find the surface area of the box, we need to calculate the area of each of the six sides and then add them together.

1. Top and bottom: 14 cm x 7 cm = 98 cm^2 (x 2 sides)
2. Front and back: 14 cm x 1.66 cm = 23.24 cm^2 (x 2 sides)
3. Sides: 7 cm x 1.66 cm = 11.62 cm^2 (x 2 sides)

Total surface area = (98 x 2) + (23.24 x 2) + (11.62 x 2)
Total surface area = 196 + 46.48 + 23.24
Total surface area = 265.72 cm^2

Therefore, the surface area of the earring box is 266 cm^2 when rounded to the nearest whole number.