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
( the prism is18cm 20cm 45cm 17cm)
Part 1: Find the volume of the RECTANGULAR PRISM:
V = (length x width x height)
V = 18cm x 20cm x 45cm = 16,200 cm^3
Part 2: Find the volume of the TRIANGULAR PRISM:
First, find the area of the triangular base:
Area = (1/2) x base x height
Area = (1/2) x 18cm x 20cm = 180 cm^2
Now, find the volume of the triangular prism:
V = Area of base x height
V = 180 cm^2 x 17cm = 3,060 cm^3
Part 3: Find the SUM of the volume of the 2 prisms:
Total Volume = Volume of Rectangular Prism + Volume of Triangular Prism
Total Volume = 16,200 cm^3 + 3,060 cm^3 = 19,260 cm^3
Therefore, the total volume of the composite figure made of the two prisms is 19,260 cubic centimeters (cm^3).