ABC Elementary wants to purchase new computers for their school. They are curious how the new laptops compare to their current ones in terms of space as their enrollment numbers are increasing and space is not. What would the surface area be if the length is 13 inches, the width is 7.5 inches, and the height is 7.5 inches? The triangle's hypotenuse is 10.61 inches. (Remember the hypotenuse is the longest side of the triangle.) Round your answer to the nearest hundredth if necessary. (1 point)

1 answer

To find the surface area of the laptop, we need to calculate the area of each of the six sides and then add them all up.

First, let's calculate the area of the two ends of the laptop:
Area of one end = length x width = 13 inches x 7.5 inches = 97.5 square inches
Since there are two ends, the total area of the ends = 2 x 97.5 square inches = 195 square inches

Next, let's calculate the area of the front and back of the laptop:
Area of front/back = length x height = 13 inches x 7.5 inches = 97.5 square inches
Since there are two front/back sides, the total area of the front and back = 2 x 97.5 square inches = 195 square inches

Finally, let's calculate the area of the top and bottom of the laptop:
Area of top/bottom = width x height = 7.5 inches x 7.5 inches = 56.25 square inches
Since there are two top/bottom sides, the total area of the top and bottom = 2 x 56.25 square inches = 112.5 square inches

Now, let's add up all the areas to find the total surface area of the laptop:
Total surface area = 195 square inches (ends) + 195 square inches (front/back) + 112.5 square inches (top/bottom) = 502.5 square inches

Therefore, the surface area of the laptop is 502.5 square inches.