All Intermediate Geometry Resources
Example Questions
Example Question #51 : Cubes
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the fgiure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #53 : Solid Geometry
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #54 : Solid Geometry
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #55 : Solid Geometry
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #61 : Cubes
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #21 : How To Find The Volume Of A Cube
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #62 : Cubes
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #28 : How To Find The Volume Of A Cube
A rectangular prism with a square base is cut out of a cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #29 : How To Find The Volume Of A Cube
A rectangular prism with a square base is cut out of the cube as shown by the figure below.
Find the volume of the figure.
Start by finding the volume of the cube.
Next, find the volume of the rectangular prism.
Subtract the volume of the rectangular prism from that of the cube to find the volume of the figure.
Example Question #22 : How To Find The Volume Of A Cube
A sphere with a radius of is cut out of a cube that has a side edge of . What is the volume of the resulting shape?
Since the cube is bigger, we will be subtracting the volume of the sphere from the volume of the cube.
Start by recalling how to find the volume of a sphere.
Plug in the given radius to find the volume.
Next, recall how to find the volume of a cube:
Plug in the given side length to find the volume of the cube.
Finally, subtract the volume of the sphere from the volume of the cube.
Make sure to round to places after the decimal.