To find the surface area of the laptop, we first need to calculate the area of each individual face and then add them together.
The laptop has 6 faces: 2 rectangles with dimensions 13 x 7.5, 2 rectangles with dimensions 7.5 x 7.5, and 2 rectangles with dimensions 13 x 7.5.
1. Calculate the area of the rectangle faces:
- Area of the rectangle face with dimensions 13 x 7.5: 13 x 7.5 = 97.5 square inches
- Area of the rectangle face with dimensions 7.5 x 7.5: 7.5 x 7.5 = 56.25 square inches
2. Calculate the area of the triangle faces:
- The area of a triangle is calculated as (base x height)/2
- Base = 7.5 inches, height = 10.61 inches
- Area of the triangle face: (7.5 x 10.61)/2 ≈ 39.68 square inches
3. Calculate the total surface area:
- Total surface area = 2(97.5) + 2(56.25) + 2(39.68)
- Total surface area ≈ 441.66 square inches
Therefore, the surface area of the laptop would be approximately 441.66 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.) Round your answer to the nearest hundredth if necessary!
3 answers
thats wrong.. can you try a different approach to the problem?
Certainly! Let's approach the problem by breaking down the laptop into its individual faces and calculating the surface area of each face separately.
The laptop has 6 surfaces:
- 2 surfaces measuring 13 inches by 7.5 inches (top and bottom)
- 2 surfaces measuring 13 inches by 7.5 inches (front and back)
- 2 surfaces measuring 7.5 inches by 7.5 inches (sides)
1. Calculate the surface area of the top and bottom faces:
- Area = length x width
- Area = 13 inches x 7.5 inches = 97.5 square inches
- Since there are 2 of these surfaces, total area = 2 x 97.5 = 195 square inches
2. Calculate the surface area of the front and back faces:
- Area = length x height
- Area = 13 inches x 7.5 inches = 97.5 square inches
- Since there are 2 of these surfaces, total area = 2 x 97.5 = 195 square inches
3. Calculate the surface area of the side faces:
- Area = width x height
- Area = 7.5 inches x 7.5 inches = 56.25 square inches
- Since there are 2 of these surfaces, total area = 2 x 56.25 = 112.5 square inches
4. Calculate the total surface area of the laptop:
- Total surface area = sum of all individual surfaces
- Total surface area = 195 + 195 + 112.5 = 502.5 square inches
Therefore, the total surface area of the laptop is 502.5 square inches.
The laptop has 6 surfaces:
- 2 surfaces measuring 13 inches by 7.5 inches (top and bottom)
- 2 surfaces measuring 13 inches by 7.5 inches (front and back)
- 2 surfaces measuring 7.5 inches by 7.5 inches (sides)
1. Calculate the surface area of the top and bottom faces:
- Area = length x width
- Area = 13 inches x 7.5 inches = 97.5 square inches
- Since there are 2 of these surfaces, total area = 2 x 97.5 = 195 square inches
2. Calculate the surface area of the front and back faces:
- Area = length x height
- Area = 13 inches x 7.5 inches = 97.5 square inches
- Since there are 2 of these surfaces, total area = 2 x 97.5 = 195 square inches
3. Calculate the surface area of the side faces:
- Area = width x height
- Area = 7.5 inches x 7.5 inches = 56.25 square inches
- Since there are 2 of these surfaces, total area = 2 x 56.25 = 112.5 square inches
4. Calculate the total surface area of the laptop:
- Total surface area = sum of all individual surfaces
- Total surface area = 195 + 195 + 112.5 = 502.5 square inches
Therefore, the total surface area of the laptop is 502.5 square inches.