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)

Answer 1

First, we need to calculate the surface area of the rectangular prism using the formula 2lw + 2lh + 2wh, where l = length, w = width, and h = height.

Surface Area = 2(13)(7.5) + 2(13)(7.5) + 2(7.5)(7.5)
Surface Area = 195 + 195 + 112.5
Surface Area = 502.5 square inches

Next, we need to calculate the surface area of the right triangle using the formula 1/2 * base * height, where the hypotenuse is the base and one of the sides is the height.

Surface Area = 1/2 * 10.61 * 7.5
Surface Area = 39.7875 square inches

Finally, we need to add the surface area of the rectangular prism and the right triangle to find the total surface area of the new laptops.

Total Surface Area = 502.5 + 39.7875
Total Surface Area = 542.2875 square inches

Therefore, the total surface area of the new laptops would be 542.29 square inches.