The surface area of the triangular prism can be calculated as follows:
Total surface area = 2 * base area of triangle + lateral area of prism
First, calculate the base area of the triangular prism:
Base area = (1/2) * base * height
Base area = (1/2) * 10 cm * 8 cm
Base area = 40 cm^2
Next, calculate the lateral area of the triangular prism:
Lateral area = perimeter of triangle * height
Lateral area = (10 cm + 16 cm + 12.81 cm) * 8 cm
Lateral area = 38.81 cm * 8 cm
Lateral area = 310.48 cm^2
Total surface area = 2 * 40 cm^2 + 310.48 cm^2
Total surface area = 80 cm^2 + 310.48 cm^2
Total surface area = 390.48 cm^2
Therefore, the correct answer is 390.48 cm^2, which is closest to 532.96 cm^2 in the given options.
What is the surface area of a triangular prism with a height of 8 cm, length of 10 cm, width of 16 cm, and a hypotenuse of 12.81 cm.(1 point)
Responses
572.96 cm2
572.96 cm squared
528 cm2
528 cm squared
532.96 cm2
532.96 cm squared
604.96 cm2
1 answer