For the following question, find the volume of the given prism. Round to the nearest tenth if necessary.
A triangular prism is shown. The sides of the triangle base each measures 13 yards. The height of the prism is 24 yards.
(1 point)
Responses
2,028.0 yd3
2,028.0 yd 3
1,756.3 yd3
1,756.3 yd 3
1,434.0 yd3
1,434.0 yd 3
3,512.6 yd3
To find the volume of a prism, we need to multiply the area of the base by the height.
The base of the prism is a triangle with sides measuring 13 yards each. To find the area of the base, we can use the formula for the area of a triangle, which is 1/2 * base * height. In this case, the base and height of the triangle are both 13 yards, so the area of the base is 1/2 * 13 * 13 = 84.5 square yards.
Now, we can multiply the area of the base by the height of the prism to find the volume. The height of the prism is 24 yards.
Volume = area of base * height
Volume = 84.5 * 24 = 2,028 cubic yards
Therefore, the volume of the prism is 2,028.0 yd³, which is the first option.