FIND THE VOLUME OF A TRUANGULAR PRISM WITH A BASE OF 4 FT HEIGHT OF 18 FT . AND THE HEIGHT OF THE PRISM IS 22 FT .

NOW CHANGE YOUR ANSER IN YARDS !

To find the volume of a triangular prism, we need to multiply the area of the base by the height of the prism.

First, let's calculate the area of the triangular base:
The formula for the area of a triangle is: Area = (base x height) / 2

Given that the base of the triangular prism is 4 ft and the height is 18 ft, we can substitute these values into the formula:
Area = (4 ft x 18 ft) / 2
= 72 ft²

Now, we can find the volume by multiplying the area of the base by the height of the prism:
Volume = Area of base x height of prism
= 72 ft² * 22 ft
= 1584 ft³

To convert the answer from cubic feet to cubic yards, we need to know that there are 3 feet in a yard (since 1 yard = 3 feet).

To convert from cubic feet to cubic yards, divide the volume in cubic feet by the cubic conversion factor:
Volume in cubic yards = Volume in cubic feet / (3 ft/1 yd)^3

Substituting the values:
Volume in cubic yards = 1584 ft³ / (3 ft/1 yd)^3
= 1584 ft³ / (27 ft³/yd³)
≈ 58.67 yd³

Therefore, the volume of the triangular prism is approximately 58.67 cubic yards.