use the image to answer the question.

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?

7 answers

To find the volume of the composite figure, we first need to find the volume of the rectangular prism and then add the volume of the cube.

Volume of the rectangular prism:
Volume = length x width x height
Volume = 6 inches x 6 inches x 2 inches
Volume = 72 cubic inches

Volume of the cube:
Volume = side^3
Volume = 2 inches x 2 inches x 2 inches
Volume = 8 cubic inches

Total volume of the composite figure:
Total volume = volume of prism + volume of cube
Total volume = 72 cubic inches + 8 cubic inches
Total volume = 80 cubic inches

Therefore, the volume of the composite figure is 80 cubic inches.
use the image to answer the question.

An illustration shows a rectangular prism, placed vertically, on the top corner of a larger cube. The length and width of the prism is 1 foot respectively and the height is 3 feet. The sides of the cube are 3 feet.

what is the volume of the composite figure?
To find the volume of the composite figure, we first need to find the volume of the cube and then subtract the volume of the rectangular prism.

Volume of the cube:
Volume = side^3
Volume = 3 feet x 3 feet x 3 feet
Volume = 27 cubic feet

Volume of the rectangular prism:
Volume = length x width x height
Volume = 1 foot x 1 foot x 3 feet
Volume = 3 cubic feet

Total volume of the composite figure:
Total volume = volume of cube - volume of rectangular prism
Total volume = 27 cubic feet - 3 cubic feet
Total volume = 24 cubic feet

Therefore, the volume of the composite figure is 24 cubic feet.
thats not right
Apologies for the error in the previous response. Let's calculate the correct volume of the composite figure in this case.

Volume of the cube:
Volume = side^3
Volume = 3 feet x 3 feet x 3 feet
Volume = 27 cubic feet

Volume of the rectangular prism:
Volume = length x width x height
Volume = 1 foot x 1 foot x 3 feet
Volume = 3 cubic feet

Total volume of the composite figure:
Total volume = volume of cube + volume of rectangular prism
Total volume = 27 cubic feet + 3 cubic feet
Total volume = 30 cubic feet

Therefore, the correct volume of the composite figure is 30 cubic feet. Thank you for pointing that out.
use the image to answer the question.

An illustration shows two cubes joined on both sides of a cuboid. The sides of the cube are 2 yards. The length of the cuboid is 4.5 yards.

what is the volume of the composite figure?
To find the volume of the composite figure, we first need to find the volumes of the two cubes and the cuboid, and then add them together.

Volume of one cube:
Volume = side^3
Volume = 2 yards x 2 yards x 2 yards
Volume = 8 cubic yards

Volume of both cubes:
Total volume of both cubes = 8 cubic yards + 8 cubic yards
Total volume of both cubes = 16 cubic yards

Volume of the cuboid:
Volume = length x width x height
Volume = 4.5 yards x 2 yards x 2 yards
Volume = 18 cubic yards

Total volume of the composite figure:
Total volume = volume of both cubes + volume of cuboid
Total volume = 16 cubic yards + 18 cubic yards
Total volume = 34 cubic yards

Therefore, the volume of the composite figure is 34 cubic yards.