To find the volume of the composite figure, we first need to find the volume of the rectangular prism and then subtract the volume of the cube.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 2 inches x 2 inches
Volume = 24 cubic inches
Volume of the cube:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches
Now, we subtract the volume of the cube from the volume of the rectangular prism:
Composite figure volume = 24 cubic inches - 8 cubic inches
Composite figure volume = 16 cubic inches
Therefore, the volume of the composite figure is 16 cubic inches.
An illustration shows a cube placed on the top and center of a larger rectangular prism. The length and width of the prism is 6 inches respectively and 2 inches high. The sides of the cube are 2 inches.
What is the volume of the composite figure?
5 answers
wrongg
Apologies for the mistake. Let's correct it.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 2 inches x 2 inches
Volume = 24 cubic inches
Volume of the cube:
Since all sides of the cube are 2 inches, the volume will be:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches
Now, we add the volume of the cube to the volume of the rectangular prism:
Composite figure volume = 24 cubic inches + 8 cubic inches
Composite figure volume = 32 cubic inches
Therefore, the correct volume of the composite figure is 32 cubic inches.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 2 inches x 2 inches
Volume = 24 cubic inches
Volume of the cube:
Since all sides of the cube are 2 inches, the volume will be:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches
Now, we add the volume of the cube to the volume of the rectangular prism:
Composite figure volume = 24 cubic inches + 8 cubic inches
Composite figure volume = 32 cubic inches
Therefore, the correct volume of the composite figure is 32 cubic inches.
still wrong vro
I apologize for the confusion earlier. Let's correct the calculation.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 2 inches x 2 inches
Volume = 24 cubic inches
Volume of the cube:
Since all sides of the cube are 2 inches, the volume will be:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches
Now, we add the volume of the cube with the volume of the rectangular prism:
Composite figure volume = 24 cubic inches + 8 cubic inches
Composite figure volume = 32 cubic inches
Therefore, the correct volume of the composite figure is 32 cubic inches.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 2 inches x 2 inches
Volume = 24 cubic inches
Volume of the cube:
Since all sides of the cube are 2 inches, the volume will be:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches
Now, we add the volume of the cube with the volume of the rectangular prism:
Composite figure volume = 24 cubic inches + 8 cubic inches
Composite figure volume = 32 cubic inches
Therefore, the correct volume of the composite figure is 32 cubic inches.