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. Calculate the volume of the first prism:
Given that the base of the first prism is a rectangle with a length of 4 units and a width of 3 units, the area of the base is:
Area = length x width
Area = 4 x 3
Area = 12 square units
The height of the first prism is 5 units.
Now, calculate the volume of the first prism using the formula for the volume of a prism:
V = (area of the base) x (height)
V = 12 x 5
V = 60 cubic units
The volume of the first prism is 60 cubic units.
2. Calculate the volume of the second prism:
Given that the base of the second prism is a square with a side length of 2 units, the area of the base is:
Area = side length squared
Area = 2^2
Area = 4 square units
The height of the second prism is 6 units.
Now, calculate the volume of the second prism using the formula for the volume of a prism:
V = (area of the base) x (height)
V = 4 x 6
V = 24 cubic units
The volume of the second prism is 24 cubic units.
3. Add the volumes of the two prisms together:
Total volume = Volume of first prism + Volume of second prism
Total volume = 60 + 24
Total volume = 84 cubic units
Therefore, the total volume of the composite figure made up of the two prisms is 84 cubic units.
No rounding
1. Calculate the volume of the first prism:
Area of the base = 4 * 3 = 12 square units
Height = 5 units
Volume of the first prism = 12 * 5 = 60 cubic units
2. Calculate the volume of the second prism:
Area of the base = 2^2 = 4 square units
Height = 6 units
Volume of the second prism = 4 * 6 = 24 cubic units
3. Add the volumes of the two prisms together:
Total volume = Volume of first prism + Volume of second prism
Total volume = 60 + 24
Total volume = 84 cubic units
Therefore, the total volume of the composite figure made up of the two prisms is 84 cubic units.