The shapes side is 10 cm the shapes side is 10 cm the bottom of the shape is 10 cm the front of the shape is 8 cm the bottom of the shape is 6 cm Solve for the surface area of the triangular prism.

Question

(1 point)
A. 260 square centimeters
B. 180 square centimeters
C. 280 square centimeters
D. 320 square centimeters

Answer 1

To solve for the surface area of the triangular prism, we need to calculate the areas of each individual face and sum them up.

Front and back faces: The front face is a triangle with a base of 10 cm and a height of 8 cm. The area is (1/2)*base*height = (1/2)*10*8 = 40 square cm. Since there are two front and back faces, the total area is 2*40 = 80 square cm.

Top and bottom faces: The top face is a triangle with a base of 6 cm and a height of 8 cm. The area is (1/2)*base*height = (1/2)*6*8 = 24 square cm. Again, there are two top and bottom faces, so the total area is 2*24 = 48 square cm.

Side faces: The side faces are rectangles with sides of 10 cm and 8 cm. The area of each side face is length*width = 10*8 = 80 square cm. Since there are two side faces, the total area of the side faces is 2*80 = 160 square cm.

Therefore, the total surface area of the triangular prism is 80 + 48 + 160 = 288 square cm.

The closest option is C. 280 square centimeters.