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 six sides: top, bottom, front, back, left, and right.
The surface area of the top and bottom is the same and can be calculated using the formula for the area of a rectangle:
Area of top and bottom = Length * Width = 10.5 inches * 15 inches = 157.5 square inches
The surface area of the front and back is the same and can also be calculated using the formula for the area of a rectangle:
Area of front and back = Length * Width = 10.5 inches * 24 inches = 252 square inches
The surface area of the left and right is the same and can be calculated using the formula for the area of a rectangle:
Area of left and right = Length * Width = 15 inches * 24 inches = 360 square inches
Now we can sum up the surface areas of all the sides to find the total surface area of the suitcase:
Total Surface Area = Area of top + Area of bottom + Area of front + Area of back + Area of left + Area of right
Total Surface Area = 157.5 square inches + 157.5 square inches + 252 square inches + 252 square inches + 360 square inches + 360 square inches
Total Surface Area = 1,539 square inches
So, the surface area of the carry-on suitcase is 1,539 square inches.
A carry-on suitcase is 10.5 inches long, 15 inches wide, and 24 inches wide. What is the surface area of the suitcase?
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1 answer