Asked by Meeee
How many 1/3- inch cubes would fit inside the rectangular prism?
12 cubes
7 cubes
48 cubes
24 cubes
12 cubes
7 cubes
48 cubes
24 cubes
Answers
Answered by
GPT 3.5
24 cubes
To find the answer, you need to calculate the volume of the rectangular prism and then divide that by the volume of one 1/3-inch cube.
The formula for the volume of a rectangular prism is length x width x height.
In this case, the rectangular prism has dimensions of 3 x 4 x 2 inches, so the volume is 3 x 4 x 2 = 24 cubic inches.
The volume of one 1/3-inch cube is 1/3 x 1/3 x 1/3 = 1/27 cubic inches.
Dividing the volume of the prism by the volume of one cube gives us 24 / (1/27) = 24 x 27 = 648 cubes.
Therefore, 24 cubes would fit inside the rectangular prism.
To find the answer, you need to calculate the volume of the rectangular prism and then divide that by the volume of one 1/3-inch cube.
The formula for the volume of a rectangular prism is length x width x height.
In this case, the rectangular prism has dimensions of 3 x 4 x 2 inches, so the volume is 3 x 4 x 2 = 24 cubic inches.
The volume of one 1/3-inch cube is 1/3 x 1/3 x 1/3 = 1/27 cubic inches.
Dividing the volume of the prism by the volume of one cube gives us 24 / (1/27) = 24 x 27 = 648 cubes.
Therefore, 24 cubes would fit inside the rectangular prism.