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)
E.
I apologize for misunderstanding your question.
To calculate the surface area of the laptop, we need to find the surface area of each individual side and then add them all together.
The laptop has 6 sides:
- Top and bottom: length * width
- Front and back: length * height
- Left and right sides: width * height
Plugging in the given dimensions:
- Top and bottom: 13 inches * 7.5 inches = 97.5 square inches for each
- Front and back: 13 inches * 7.5 inches = 97.5 square inches for each
- Left and right sides: 7.5 inches * 7.5 inches = 56.25 square inches for each
Adding them all together:
Surface area = 2 * (97.5) + 2 * (56.25) + 2 * (97.5)
Surface area = 195 + 112.5 + 195
Surface area = 502.5 square inches
Therefore, the surface area of the laptop would be 502.5 square inches.
That is wrong. Please do not answer with the same wrong answer.
I apologize for the mistake in my previous responses. Let's calculate the correct surface area of the laptop.
Given:
Length = 13 inches
Width = 7.5 inches
Height = 7.5 inches
The surface area of a rectangular prism (like a laptop) can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Substitute the values into the formula:
Surface Area = 2(13)(7.5) + 2(13)(7.5) + 2(7.5)(7.5)
Surface Area = 2(97.5) + 2(97.5) + 2(56.25)
Surface Area = 195 + 195 + 112.5
Surface Area = 502.5 square inches
Therefore, the surface area of the laptop would be 502.5 square inches.