Question

Carry-on suitcase is 9.5 inches long 16 inches wide and 22.5 inches high. What is the surface area of the suitcase?

Answer 1

To find the surface area of the suitcase, we need to calculate the area of each side and then sum them up.

The suitcase has 6 sides: 2 sides that measure 9.5 inches by 22.5 inches, 2 sides that measure 16 inches by 22.5 inches, and 2 sides that measure 9.5 inches by 16 inches.

Area of the first side = length * height
= 9.5 inches * 22.5 inches
= 213.75 square inches

Area of the second side = length * height
= 9.5 inches * 22.5 inches
= 213.75 square inches

Area of the third side = length * width
= 16 inches * 22.5 inches
= 360 square inches

Area of the fourth side = length * width
= 16 inches * 22.5 inches
= 360 square inches

Area of the fifth side = length * width
= 9.5 inches * 16 inches
= 152 square inches

Area of the sixth side = length * width
= 9.5 inches * 16 inches
= 152 square inches

Adding up all the side areas:

213.75 + 213.75 + 360 + 360 + 152 + 152 = 1451.5

Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.