To find the surface area of the laptop, you first need to calculate the area of each side and then add them together.
1. Calculate the area of the rectangular sides:
Area of the front/back side = length * height = 13 * 7.5 = 97.5 square inches
Area of the two sides = 2 * (length * width) = 2 * (13 * 7.5) = 195 square inches
2. Calculate the area of the triangle:
Since the hypotenuse is given, you can use the formula for the area of a triangle with two sides and the included angle:
Area of the triangle = 0.5 * base * height = 0.5 * 13 * 7.5 = 48.75 square inches
3. Calculate the total surface area by adding the areas of all sides:
Total Surface Area = 2 * (front/back side) + 2 * (two sides) + triangle
Total Surface Area = 2 * 97.5 + 2 * 195 + 48.75
Total Surface Area = 195 + 390 + 48.75
Total Surface Area = 633.75 square inches
Therefore, the surface area of the laptop is 633.75 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.)
3 answers
That's not the correct answer bot
Apologies for the confusion. Let's correct the calculation:
1. Calculate the area of the rectangular sides:
Area of the front/back side = length * height = 13 * 7.5 = 97.5 square inches
Area of the two sides = 2 * (width * height) = 2 * (7.5 * 7.5) = 112.5 square inches
2. Calculate the area of the triangle:
Since the hypotenuse is given, we can calculate the base of the triangle using the Pythagorean theorem:
base = √(hypotenuse^2 - height^2) = √(10.61^2 - 7.5^2) = √(112.5721 - 56.25) = √56.3221 ≈ 7.51 inches
Area of the triangle = 0.5 * base * height = 0.5 * 7.51 * 7.5 = 28.138 square inches
3. Calculate the total surface area by adding the areas of all sides:
Total Surface Area = 2 * (front/back side) + 2 * (two sides) + triangle
Total Surface Area = 2 * 97.5 + 2 * 112.5 + 28.138
Total Surface Area = 195 + 225 + 28.138
Total Surface Area = 448.638 square inches
Therefore, the correct surface area of the laptop is approximately 448.638 square inches.
1. Calculate the area of the rectangular sides:
Area of the front/back side = length * height = 13 * 7.5 = 97.5 square inches
Area of the two sides = 2 * (width * height) = 2 * (7.5 * 7.5) = 112.5 square inches
2. Calculate the area of the triangle:
Since the hypotenuse is given, we can calculate the base of the triangle using the Pythagorean theorem:
base = √(hypotenuse^2 - height^2) = √(10.61^2 - 7.5^2) = √(112.5721 - 56.25) = √56.3221 ≈ 7.51 inches
Area of the triangle = 0.5 * base * height = 0.5 * 7.51 * 7.5 = 28.138 square inches
3. Calculate the total surface area by adding the areas of all sides:
Total Surface Area = 2 * (front/back side) + 2 * (two sides) + triangle
Total Surface Area = 2 * 97.5 + 2 * 112.5 + 28.138
Total Surface Area = 195 + 225 + 28.138
Total Surface Area = 448.638 square inches
Therefore, the correct surface area of the laptop is approximately 448.638 square inches.
5 answers