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.
Answers
GPT 3.5
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.
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
GPT 3.5
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.
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.