Solve for the total surface area of the figure. 13.7 cm 11.5cm 6.2cm 7.5cm 7.5cm 3cm 4cm (1 point)

Answer 1

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

Face 1: Rectangle with dimensions 13.7 cm x 11.5 cm
Surface area = 2(13.7 cm x 11.5 cm) = 315.05 cm²

Face 2: Rectangle with dimensions 13.7 cm x 6.2 cm
Surface area = 2(13.7 cm x 6.2 cm) = 169.88 cm²

Face 3: Rectangle with dimensions 11.5 cm x 6.2 cm
Surface area = 2(11.5 cm x 6.2 cm) = 142.6 cm²

Face 4: Square with dimensions 3 cm x 3 cm
Surface area = 4(3 cm x 3 cm) = 36 cm²

Face 5: Rectangle with dimensions 6.2 cm x 4 cm
Surface area = 2(6.2 cm x 4 cm) = 49.6 cm²

Now, add all the surface areas together:
315.05 cm² + 169.88 cm² + 142.6 cm² + 36 cm² + 49.6 cm² = 713.13 cm²

Therefore, the total surface area of the figure is 713.13 cm².