To calculate the surface area of the laptop, we need to find the area of each of the six sides and add them together.
The laptop has a rectangular base with dimensions 13 inches by 7.5 inches:
Area of the base = length x width = 13 inches x 7.5 inches = 97.5 square inches
The laptop also has two sides that have dimensions 13 inches by 7.5 inches:
Area of one side = length x height = 13 inches x 7.5 inches = 97.5 square inches
Area of the other side = width x height = 7.5 inches x 7.5 inches = 56.25 square inches
The laptop has two more sides with dimensions 13 inches by 10.61 inches (the hypotenuse):
Area of one side = length x hypotenuse = 13 inches x 10.61 inches = 137.93 square inches
Area of the other side = width x hypotenuse = 7.5 inches x 10.61 inches = 79.57 square inches
Lastly, the laptop has a top with dimensions 10.61 inches by 7.5 inches:
Area of the top = hypotenuse x width = 10.61 inches x 7.5 inches = 79.57 square inches
Now, we add up all the areas to find the total surface area:
97.5 + 97.5 + 56.25 + 137.93 + 79.57 + 79.57 = 548.32 square inches
Therefore, the surface area of the laptop is 548.32 square inches.
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.
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