there is a composite/compound 3D figure and the volume is 18 cm, 45 cm, 17 cm, and 20 cm

Question

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.
Part 1: Find the volume of the RECTANGULAR PRISM: __ YDS^3
Part 2: Find the volume of the TRIANGULAR PRISM: __ YDS^3
Part 3: Find the SUM of the volume of the 2 prisms: __ YDS^3

Answer 1

Part 1: Volume of the RECTANGULAR PRISM
Given:
Length = 18 cm
Width = 45 cm
Height = 17 cm

Volume = Length x Width x Height
Volume = 18 cm x 45 cm x 17 cm
Volume = 13770 cm^3
Volume = 13.77 YDS^3 (since 1 cm^3 = 0.000578703 YDS^3)

Part 2: Volume of the TRIANGULAR PRISM
Given:
Base = 20 cm
Height = 17 cm

Area of the base = 0.5 x Base x Height
Area of the base = 0.5 x 20 cm x 17 cm
Area of the base = 170 cm^2

Volume = Area of the base x Height
Volume = 170 cm^2 x 17 cm
Volume = 2890 cm^3
Volume = 2.89 YDS^3 (since 1 cm^3 = 0.000578703 YDS^3)

Part 3: Sum of the volume of the 2 prisms
Volume of both prisms = Volume of Rectangular Prism + Volume of Triangular Prism
Volume of both prisms = 13.77 YDS^3 + 2.89 YDS^3
Volume of both prisms = 16.66 YDS^3

Therefore, the volume of the rectangular prism is 13.77 YDS^3, the volume of the triangular prism is 2.89 YDS^3, and the sum of the volumes of both prisms is 16.66 YDS^3.