Unit six surface area lesson eight surface area of composite 3-D figures need help we have on the bottom 6.2 cm on the left side we have 11.5 cm on top we have 13.7 cm on the right side. The link is 7.5 cm and another 7.5 cm also on the right we have a 3 cm and a 4 cm, what could the answer be what it be 365.8 or 377.8 or 53.4 cm or 353.8 cm
To find the surface area of the composite figure, you need to break it down into its individual components and calculate the surface area of each component separately.
First, let's break down the composite figure:
- There are two rectangles with dimensions 6.2 cm by 11.5 cm and 13.7 cm by 7.5 cm. The surface area of these two rectangles would be:
- 6.2 cm * 11.5 cm = 71.3 square cm
- 13.7 cm * 7.5 cm = 102.75 square cm
- There is a square with dimensions 7.5 cm by 7.5 cm. The surface area of this square would be:
- 7.5 cm * 7.5 cm = 56.25 square cm
- There are two right triangles with base and height 3 cm and 4 cm. The surface area of these two triangles would be:
- 1/2 * 3 cm * 4 cm = 6 square cm (for each triangle)
Now, add up all the individual surface areas:
71.3 + 102.75 + 56.25 + 6 + 6 = 242.3 square cm
Therefore, the surface area of the composite figure is 242.3 square cm.
None of the provided options are correct, so the correct answer is 242.3 cm².