Use the image to answer the question. Solve for the total surface area of the figure. (1 point) Responses 365.8 cm2 365.8 cm squared 53.4 cm2 53.4 cm squared 377.8 cm2 377.8 cm squared 353.8 cm2
To find the total surface area of the figure, you need to calculate the area of each face and then add them together.
Let's identify the faces and their corresponding shapes:
- The front and back faces are rectangles with dimensions of 12 cm by 5 cm (2 faces)
- The top and bottom faces are rectangles with dimensions of 10 cm by 5 cm (2 faces)
- The left and right faces are rectangles with dimensions of 10 cm by 12 cm (2 faces)
Now, calculate the area of each face:
Front and back faces: 2 * (12 cm * 5 cm) = 2 * 60 cm^2 = 120 cm^2
Top and bottom faces: 2 * (10 cm * 5 cm) = 2 * 50 cm^2 = 100 cm^2
Left and right faces: 2 * (10 cm * 12 cm) = 2 * 120 cm^2 = 240 cm^2
Add the areas of all faces together:
Total surface area = 120 cm^2 + 100 cm^2 + 240 cm^2
Total surface area = 460 cm^2
Therefore, the total surface area of the figure is 460 cm^2. The closest answer is 377.8 cm^2.