1. Find the volume of the first prism:
Given:
- Base of the first prism: a rectangle with length 6 cm and width 4 cm
- Height of the first prism: 10 cm
Calculate the area of the base of the first prism:
Area = length x width
Area = 6 cm x 4 cm
Area = 24 cm^2
Calculate the volume of the first prism:
V1 = Area x height
V1 = 24 cm^2 x 10 cm
V1 = 240 cm^3
2. Find the volume of the second prism:
Given:
- Base of the second prism: a triangle with base 5 cm and height 8 cm
- Height of the second prism: 12 cm
Calculate the area of the base of the second prism:
Area = 1/2 x base x height
Area = 1/2 x 5 cm x 8 cm
Area = 20 cm^2
Calculate the volume of the second prism:
V2 = Area x height
V2 = 20 cm^2 x 12 cm
V2 = 240 cm^3
3. Add the volumes of the two prisms together:
Total Volume = V1 + V2
Total Volume = 240 cm^3 + 240 cm^3
Total Volume = 480 cm^3
Therefore, the total volume of the composite prism is 480 cm^3.
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.
1 answer
1 answer