First, we need to find the area of the base for each prism.
1. Base of the first prism:
Area = (1/2) * base * height
Area = (1/2) * 45 cm * 18 cm
Area = 405 cm^2
2. Base of the second prism:
Area = base * height
Area = 20 cm * 17 cm
Area = 340 cm^2
Now, we can find the volume of each prism separately:
1. Volume of the first prism:
V1 = Area of base * height
V1 = 405 cm^2 * 18 cm
V1 = 7290 cm^3
2. Volume of the second prism:
V2 = Area of base * height
V2 = 340 cm^2 * 20 cm
V2 = 6800 cm^3
Therefore, the total volume of the composite figure is:
Total Volume = V1 + V2
Total Volume = 7290 cm^3 + 6800 cm^3
Total Volume = 14090 cm^3
So, the total volume of the composite prism is 14090 cm^3.
The formula for volume of a PRISM is V=(area of the base) x (height of prism).
Top is 18cm, side is 20cm, bottom is 45cm, bottom right is 17cm
This prism is a composite figure with 2 prisms combined.
Find the volume of each prism separately then add the volumes together.
(3 points)
1 answer