The shape is 13.7 cm 4 cm 3 cm 7.5 cm 7.5 cm 6.2 cm 11.5 cm

Question

Solve for the total surface area of the figure

A. 377.8 cm ²
B. 53.4 cm ²
C. 353.8 cm ²
D. 365.8 cm ²

Answer 1

To find the total surface area of the figure, we need to find the surface area of each individual face and then add them all together.

First, let's find the surface area of each face:

1. Surface area of the first face with dimensions 13.7 cm x 4 cm = 13.7 cm x 4 cm = 54.8 cm²
2. Surface area of the second face with dimensions 3 cm x 7.5 cm = 3 cm x 7.5 cm = 22.5 cm²
3. Surface area of the third face with dimensions 7.5 cm x 6.2 cm = 7.5 cm x 6.2 cm = 46.5 cm²
4. Surface area of the fourth face with dimensions 11.5 cm x 6.2 cm = 11.5 cm x 6.2 cm = 71.3 cm²
5. Surface area of the fifth face with dimensions 13.7 cm x 6.2 cm = 13.7 cm x 6.2 cm = 85.0 cm²
6. Surface area of the sixth face with dimensions 3 cm x 7.5 cm = 3 cm x 7.5 cm = 22.5 cm²

Now, add all the surface areas together:
54.8 cm² + 22.5 cm² + 46.5 cm² + 71.3 cm² + 85.0 cm² + 22.5 cm² = 302.6 cm²

Therefore, the total surface area of the figure is 302.6 cm².

None of the given answer choices are correct.