To find the total surface area of the composite figure (house), we need to calculate the surface areas of each individual component and then add them all together.
1. The triangular roof:
The triangular roof can be split into two right triangles. We will calculate the surface area of each triangle and then add them together.
a. One right triangle has a base of 8 m and a height of 20 m:
Surface area = 1/2 * base * height = 1/2 * 8 * 20 = 80 square meters
b. The other right triangle has a base of 10 m and a height of 20 m:
Surface area = 1/2 * base * height = 1/2 * 10 * 20 = 100 square meters
Therefore, the total surface area of the triangular roof = 80 + 100 = 180 square meters
2. The rectangular front of the house:
The front rectangular surface area = 32 m (length) * 20 m (height) = 640 square meters
Now, add the surface areas of the triangular roof and the rectangular front together:
Total surface area = 180 + 640 = 820 square meters
Therefore, the total surface area of the composite figure (house) is 820 square meters.
Surface area of composite 3-D figure practice seventh grade. What is the total surface area Of the figure use the image to answer the question the image looks like a house. The top right slant of the triangle is 20 M. The middle of the triangle is 12 M the right side is eight and the bottom right is 10 M the very bottom front is 32M
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