C. 377.8 cm2
To find the total surface area of the figure, you calculate the surface area of all visible faces.
Surface area of rectangular prism:
- Front face: 13.7 cm * 11.5 cm = 157.55 cm2
- Top face: 13.7 cm * 6.2 cm = 84.94 cm2
- Right face: 11.5 cm * 4 cm = 46 cm2
Surface area of missing section (rectangular prism):
- Front face: 7.5 cm * 7.5 cm = 56.25 cm2
- Top face: 7.5 cm * 3 cm = 22.5 cm2
- Right face: 3 cm * 4 cm = 12 cm2
Adding up all the surface areas:
157.55 cm2 (front face of rectangular prism) + 84.94 cm2 (top face of rectangular prism) + 46 cm2 (right face of rectangular prism) + 56.25 cm2 (front face of missing section) + 22.5 cm2 (top face of missing section) + 12 cm2 (right face of missing section) = 377.8 cm2
Therefore, the total surface area of the figure is 377.8 cm2.
Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a rectangular prism with a missing section. The missing section is also in the shape of a rectangular prism. The top, right, and front faces of the figure are visible. "The faces and edges that are not visible are indicated by dashed lines. The rectangular prism has a length of 13.7 centimeters and a height of 11.5 centimeters. The missing section is removed from the bottom right corner of the rectangular prism. The missing section is a rectangular prism that shares a width of 3 centimeters with the rest of the figure. The missing rectangular prism section has a length of 7.5 centimeters and a height of 7.5 centimeters. The remaining length to the left of the missing section both measures 6.2 centimeters. The remaining height above the missing section measures 4 centimeters.
Solve for the total surface area of the figure.
(1 point)
Responses
A. 53.4 cm2
B. 353.8 cm2
C. 377.8 cm2
D. 365.8 cm2
1 answer