Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 12 inch.
Responses
32 cubic inches
Start Fraction 3 over 2 End Fraction, cubic inches
18 cubic inches
, Start Fraction 1 over 8 End Fraction, cubic inches
12 cubic inches
5 cubic inches
typo sry,
each cube has an edge length of 1/2 inch
To find the volume of the right rectangular prism packed with 12 cubes, we need to multiply the volume of one cube by the number of cubes.
First, let's calculate the volume of one cube.
Given that each cube has an edge length of 12 inches, the volume of one cube is calculated by taking the cube of the edge length:
Volume of one cube = (12 inches)^3 = 12^3 = 1728 cubic inches.
Now, we can find the volume of the right rectangular prism by multiplying the volume of one cube by the number of cubes:
Volume of right rectangular prism = Volume of one cube × Number of cubes
Volume of right rectangular prism = 1728 cubic inches × 12 = 20736 cubic inches.
Therefore, the volume of the right rectangular prism packed with 12 cubes is 20736 cubic inches.
Volume of one cube = (12 in)³ = 1728 cubic inches
Volume of 12 cubes = 1728 cubic inches x 12 = 20,736 cubic inches
Since the right rectangular prism is formed by packing 12 cubes, its volume is equal to the volume of the 12 cubes.
Therefore, the volume of the right rectangular prism is 20,736 cubic inches.
Answer: 20,736 cubic inches.
To find the volume of the right rectangular prism packed with 12 cubes, we first need to determine the volume of one cube and then multiply it by the number of cubes.
Given that each cube has an edge length of 12 inches, the volume of one cube can be calculated by finding the volume of a rectangular prism with length, width, and height equal to 12 inches:
Volume of one cube = 12 inches * 12 inches * 12 inches
= 1728 cubic inches
Since there are 12 cubes packed in the right rectangular prism, we can now multiply the volume of one cube by the number of cubes:
Total volume = Volume of one cube * Number of cubes
= 1728 cubic inches * 12 cubes
= 20736 cubic inches
Therefore, the volume of the right rectangular prism packed with 12 cubes is 20736 cubic inches.