The formula for volume of a PRISM is V=(area of the base) x (height of prism).

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

1 answer

Part 1:
Volume of the rectangular prism = (area of the base) x (height)
= (length x width) x height
= (6 yards x 4 yards) x 5 yards
= 24 square yards x 5 yards
= 120 cubic yards

Part 2:
Volume of the triangular prism = (area of the base) x (height)
= (1/2 x base x height) x height
= (1/2 x 6 yards x 5 yards) x 4 yards
= 15 square yards x 4 yards
= 60 cubic yards

Part 3:
Sum of the volumes: 120 cubic yards + 60 cubic yards = 180 cubic yards

Therefore, the sum of the volume of the two prisms is 180 cubic yards.