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