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)
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.