To find the surface area of the given figure, we need to find the area of each face and then add them up.
The triangular bases have the same area, which is given by:
1/2 x base x height
= 1/2 x 12 cm x 16 cm
= 96 cm²
Since there are two triangular bases, their total area is:
2 x 96 cm² = 192 cm²
The rectangular sides have the same area, which is given by:
length x height
= 20 cm x 32 cm
= 640 cm²
Since there are three rectangular sides, their total area is:
3 x 640 cm² = 1,920 cm²
Finally, the small square at the front has an area of:
12 cm x 12 cm = 144 cm²
Adding up all the areas, we get:
192 cm² + 1,920 cm² + 144 cm² = 2,256 cm²
Therefore, the surface area of the given figure is 2,256 cm².
Answer: None of the given options match the correct answer.
What is the surface area of the given figure?
A triangular prism is shown. The height of the prism is 32 centimeters and the triangular bases sides that are 12, 16, and 20 centimeters in length. A small square is located at the vertex of the 12 and 16 centimeter sides of the triangle at the front of the diagram.
A. 1,008 cm2
B. 1,728 cm2
C. 1,392 cm2
D. 1,216 cm2
1 answer