A carry-on suitcase is 10.5 inches long, 15 inches wide, and 24 inches wide. What is the surface area of the suitcase?
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.