This prism is a composite figure with 2 prisms combined.
Find the volume of each prism separately then add the volumes together.
(3 points)
Part 1: Find the volume of the RECTANGULAR PRISM:
YDS3
Part 2: Find the volume of the TRIANGULAR PRISM:
YDS3
Part 3: Find the SUM of the volume of the 2 prisms:
YDS3
Part 1:
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Let's say the length of the rectangular prism is 5 yards, the width is 3 yards, and the height is 4 yards.
V = (5)(3)(4)
V = 60 yards^3
Part 2:
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. Let's say the base of the triangle is 6 yards, the height of the triangle is 4 yards, and the height of the prism is 8 yards.
V = 1/2 * 6 * 4 * 8
V = 96 yards^3
Part 3:
Sum of the volumes of the 2 prisms is:
60 + 96 = 156 yards^3
Therefore, the sum of the volume of the 2 prisms is 156 yards^3.