The volume of a triangular prism is given by the formula V = (1/2) * b * h * H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism.
Given that the volume is 14 m³ and the height of the prism is 2 meters, we can substitute these values into the formula:
14 = (1/2) * b * 2 * 2
14 = b * 2
7 = b
Now that we know the base of the triangular face is 7 meters, we can calculate the area using the formula for the area of a triangle: A = (1/2) * b * h. Substituting in the values:
A = (1/2) * 7 * 2
A = 7 * 1
A = 7 m²
The area of the triangular face of the tent is 7 m². Answer choice D: 7 m².
A tent shaped like a triangular prism is shown in the picture. The height of the tent is 2 meters, and the volume of the tent is 14 m³.
What is the area of the triangular face of the tent in square meters?
Responses
A 28 m²28 m²
B 144 m²144 m²
C 14 m²14 m²
D 7 m²
1 answer
1 answer