What is the volume of the composite figure? (1 point) The numbers are 8,10,7,7,16, Now solve the volume
To find the volume of a composite figure, we need to break it down into simpler shapes and calculate the volume of each shape separately.
The composite figure given can be broken down into a rectangular prism and a cylinder.
The dimensions of the rectangular prism are:
- Length: 10 units
- Width: 7 units
- Height: 8 units
The volume of a rectangular prism is calculated using the formula: V = l x w x h
Where:
V = Volume
l = Length
w = Width
h = Height
Substitute the values into the formula:
V_rectangular prism = 10 x 7 x 8 = 560 cubic units
The dimensions of the cylinder are:
- Radius: 7 units
- Height: 16 units
The volume of a cylinder is calculated using the formula: V = π x r^2 x h
Where:
V = Volume
π = Pi (approx. 3.14159)
r = Radius
h = Height
Substitute the values into the formula:
V_cylinder = 3.14159 x 7^2 x 16 ≈ 615.75 cubic units
Now, add the volumes of the rectangular prism and cylinder together to find the total volume of the composite figure:
Total Volume = V_rectangular prism + V_cylinder
Total Volume = 560 + 615.75 ≈ 1175.75 cubic units
Therefore, the volume of the composite figure is approximately 1175.75 cubic units.