Use Nets to Solve Triangular Problems Practice
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Question
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)
in.2
To find the surface area of the laptop, we need to calculate the area of all its sides.
Given:
Length = 13 inches
Width = 7.5 inches
Height = 7.5 inches
First, let's calculate the area of the base of the laptop. The base is a rectangle with dimensions of length and width:
Base Area = Length x Width
Base Area = 13 inches x 7.5 inches
Base Area = 97.5 square inches
Next, let's calculate the area of one of the sides of the laptop. The side is a right triangle, we need to use the formula for the area of a triangle:
Side Area = 0.5 x base x height
Side Area = 0.5 x 7.5 inches x 7.5 inches
Side Area = 0.5 x 56.25 square inches
Side Area = 28.125 square inches
Since the laptop has 2 of these sides, we multiply this by 2:
Total Area of the sides = 2 x Side Area
Total Area of the sides = 2 x 28.125 square inches
Total Area of the sides = 56.25 square inches
Now, let's calculate the total surface area of the laptop by adding the base area and the area of the sides:
Total Surface Area = Base Area + Total Area of the sides
Total Surface Area = 97.5 square inches + 56.25 square inches
Total Surface Area = 153.75 square inches
Therefore, the surface area of the laptop with the given dimensions is 153.75 square inches.