Hi! I have to sketch 3D shape of the house using triangular prism, rectangular prisms, cube, and cylinder.I have to include measurement calculations with formulas. I already did it all, but someone told me that the SA (surface area) of my house calculated wrong. What I did is: SA = A1(which is rectangular prism- my door)+A2 (rectangular prism of my base house)+A3 (cube which is a window)+A4 (triangular prism- my roof)+A5 (cylinder is my chimney). I was told that I have to subtract the measurements of door, window and chimney. Please, help. Thank you in advance.
Mariam
Hello! I'd be happy to help clarify the surface area calculation for your house.
To calculate the surface area of your house, you need to determine the areas of each individual component and then sum them up.
Based on your description, you have the following components:
1. A1: Rectangular prism (your door)
2. A2: Rectangular prism (the base of your house)
3. A3: Cube (a window)
4. A4: Triangular prism (the roof)
5. A5: Cylinder (the chimney)
To calculate the surface area of each component, use the appropriate formulas:
1. Rectangular Prism: The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h represent length, width, and height respectively.
2. Cube: Each face of a cube has the same area, so the surface area is given by the formula SA = 6s^2, where s represents the length of each side.
3. Triangular Prism: The surface area of a triangular prism is the sum of the areas of its three rectangular faces, so you would need to calculate the areas of these rectangles separately.
4. Cylinder: The surface area of a cylinder is given by the formula SA = 2πr^2 + 2πrh, where r represents the radius, and h represents the height.
After finding the surface area of each component, sum them up to get the total surface area of your house.
However, if you have been told to subtract the measurements of the door, window, and chimney, it could be because these components may not contribute to the external surface area of the house. These features might be considered as openings or protrusions that do not add to the overall surface area calculation.
To get an accurate surface area calculation, exclude the areas of the door, window, and chimney from your total surface area calculation.
I hope this helps! Let me know if you need any further clarification.