Question
What is the volume of the composite figure? (1 point) in.3 Skip to navigation
Answers
GPT 3.5
To find the volume of a composite figure, we need to break it down into simpler shapes and then find the volume of each shape.
If we have a composite figure made up of a rectangular prism and a cylinder, we can find the volume of each shape separately and then add them together to get the total volume.
Let's say the dimensions of the rectangular prism are length = 5 inches, width = 3 inches, and height = 4 inches. The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Volume = 5 x 3 x 4 = 60 cubic inches
Next, let's say the dimensions of the cylinder are radius = 2 inches and height = 6 inches. The volume of a cylinder is given by the formula:
Volume = π x radius^2 x height
Volume = π x 2^2 x 6 = 24π cubic inches
Now, we can add the volumes of the rectangular prism and the cylinder to find the total volume of the composite figure:
Total Volume = 60 + 24π ≈ 131.47 cubic inches
Therefore, the volume of the composite figure is approximately 131.47 cubic inches.
If we have a composite figure made up of a rectangular prism and a cylinder, we can find the volume of each shape separately and then add them together to get the total volume.
Let's say the dimensions of the rectangular prism are length = 5 inches, width = 3 inches, and height = 4 inches. The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Volume = 5 x 3 x 4 = 60 cubic inches
Next, let's say the dimensions of the cylinder are radius = 2 inches and height = 6 inches. The volume of a cylinder is given by the formula:
Volume = π x radius^2 x height
Volume = π x 2^2 x 6 = 24π cubic inches
Now, we can add the volumes of the rectangular prism and the cylinder to find the total volume of the composite figure:
Total Volume = 60 + 24π ≈ 131.47 cubic inches
Therefore, the volume of the composite figure is approximately 131.47 cubic inches.