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??????

1 answer

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

The front and back sides are both rectangular and have dimensions 9.5 inches by 22.5 inches. Therefore, their areas are:

Front and back area = 2 * (9.5 inches * 22.5 inches) = 427.5 square inches

The top and bottom sides are also rectangular and have dimensions 16 inches by 9.5 inches. Therefore, their areas are:

Top and bottom area = 2 * (16 inches * 9.5 inches) = 304 square inches

Finally, the left and right sides are also rectangular and have dimensions 16 inches by 22.5 inches. Therefore, their areas are:

Left and right area = 2 * (16 inches * 22.5 inches) = 720 square inches

Now, summing up the areas of all six sides:

Total surface area = Front and back area + Top and bottom area + Left and right area
= 427.5 square inches + 304 square inches + 720 square inches
= 1451.5 square inches

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