A carry on suitcase is 9.5 inches long 16 inches wide and 22.5 inches high. What is the surface area of the suitcase
To calculate the surface area of a suitcase, we need to find the area of each side and then add them up.
The suitcase has six sides: a top, a bottom, a front, a back, a left side, and a right side.
The top and bottom sides have the same dimensions, so we can find their area by multiplying the length by the width:
Area of top/bottom = length * width
Area of top/bottom = 9.5 inches * 16 inches
Area of top/bottom = 152 square inches
The front and back sides also have the same dimensions, so we can find their area by multiplying the length by the height:
Area of front/back = length * height
Area of front/back = 9.5 inches * 22.5 inches
Area of front/back = 213.75 square inches
The left and right sides also have the same dimensions, so we can find their area by multiplying the width by the height:
Area of left/right = width * height
Area of left/right = 16 inches * 22.5 inches
Area of left/right = 360 square inches
Now, we can find the surface area by adding up the area of each side:
Surface area = 2 * (Area of top/bottom) + 2 * (Area of front/back) + 2 * (Area of left/right)
Surface area = 2 * 152 square inches + 2 * 213.75 square inches + 2 * 360 square inches
Surface area = 304 square inches + 427.5 square inches + 720 square inches
Surface area = 1451.5 square inches
Therefore, the surface area of the carry-on suitcase is 1451.5 square inches.
Yall both gave 2 different answers, what I want to know bot which one is correct 725.75 in.^2 or 1,451.5in.^2
To calculate the surface area of the suitcase, we need to find the area of each side and then add them up.
The area of the top and bottom surfaces is given by:
Length × Width = 9.5 inches × 16 inches = 152 square inches
The area of the front and back surfaces is given by:
Width × Height = 16 inches × 22.5 inches = 360 square inches
The area of the two side surfaces is given by:
Length × Height = 9.5 inches × 22.5 inches = 213.75 square inches
Now, we can add up these areas to find the surface area of the suitcase:
152 square inches + 360 square inches + 213.75 square inches = 725.75 square inches.
Therefore, the surface area of the carry-on suitcase is 725.75 square inches.