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
To calculate the surface area of the laptop, we need to find the area of each of the three surfaces: two rectangles and two triangles.
The surface area of a rectangle is calculated by multiplying its length by its width. In this case, we have two rectangles with dimensions 13 inches by 7.5 inches. So the total area for the rectangles is:
2 * (13 * 7.5) = 195 square inches
The surface area of a triangle can be calculated using the formula A = 0.5 * base * height. In this case, the base and height of each triangle are 13 inches and 7.5 inches, respectively. So the total area for the triangles is:
2 * (0.5 * 13 * 7.5) = 97.5 square inches
Therefore, the total surface area of the laptop is:
195 + 97.5 = 292.5 square inches
Therefore, the surface area of the laptop with dimensions 13 inches by 7.5 inches by 7.5 inches is 292.5 square inches.