To find the volume of the composite figure, we need to first determine what shape each of the sides represent and then calculate the volume of each shape separately.
Given sides:
- Side 1: 11in (Assuming this side represents the length of a rectangular prism)
- Side 2: 4in (Assuming this side represents the width of a rectangular prism)
- Side 3: 3in (Assuming this side represents the height of a rectangular prism)
- Side 4: 3in (Assuming this side represents the radius of a cylinder)
- Side 5: 3in (Assuming this side represents the height of a cylinder)
Now, let's calculate the volume of each shape separately:
Volume of the rectangular prism:
Volume = length x width x height
Volume = 11in x 4in x 3in
Volume = 132in^3
Volume of the cylinder:
Volume = π x radius^2 x height
Volume = π x (3in)^2 x 3in
Volume = π x 9in^2 x 3in
Volume = 27πin^3
Now, add the volumes of the rectangular prism and cylinder together to get the total volume of the composite figure:
Total Volume = Volume of rectangular prism + Volume of cylinder
Total Volume = 132in^3 + 27πin^3 ≈ 132in^3 + 84.78in^3
Total Volume ≈ 216.78in^3
Therefore, the math given the sides are 11in, 4in, 3in, 3in, 3in and a volume of 159in^3 is incorrect. The correct volume would be approximately 216.78in^3.
If the volume of the composite figure is 159in^3. The side are 11in, 4in, 3in,3in,3in. What is the math?
1 answer