18 cubic inches
Each cube has a volume of (1/2)^3 = 1/8 cubic inches. So, the volume of 12 cubes is 12 * (1/8) = 12/8 = 1.5 cubic inches.
Since the prism is packed with 12 cubes, the volume of the prism is 1.5 cubic inches.
Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 1/2 inch. (1 point) Responses 5 cubic inches 5 cubic inches 12 cubic inches 12 cubic inches 32 cubic inches Start Fraction 3 over 2 End Fraction cubic inches 18 cubic inches
5 answers
Use the image to answer the question. How many 1/3 -inch cubes would fit inside the right rectangular prism? (1 point) Responses 48 cubes 48 cubes 12 cubes 12 cubes 24 cubes 24 cubes 7 cubes
To find how many 1/3-inch cubes can fit inside the right rectangular prism, we need to calculate the volume of the rectangular prism and then divide it by the volume of each 1/3-inch cube.
The volume of the right rectangular prism is given by length x width x height = 3(1/3) x 4(1/3) x 2(1/3) = 1 x 4/3 x 2/3 = 8/9 cubic inches.
The volume of each 1/3-inch cube is (1/3)^3 = 1/27 cubic inches.
To find the number of cubes that can fit inside, we divide the volume of the right rectangular prism by the volume of each cube:
(8/9) / (1/27) = (8/9) * (27/1) = 216/9 = 24 cubes.
Therefore, 24 cubes measuring 1/3 inch each can fit inside the right rectangular prism. The correct response is:
24 cubes
The volume of the right rectangular prism is given by length x width x height = 3(1/3) x 4(1/3) x 2(1/3) = 1 x 4/3 x 2/3 = 8/9 cubic inches.
The volume of each 1/3-inch cube is (1/3)^3 = 1/27 cubic inches.
To find the number of cubes that can fit inside, we divide the volume of the right rectangular prism by the volume of each cube:
(8/9) / (1/27) = (8/9) * (27/1) = 216/9 = 24 cubes.
Therefore, 24 cubes measuring 1/3 inch each can fit inside the right rectangular prism. The correct response is:
24 cubes
What is the volume of the right rectangular prism packed with 8 cubes? Each cube has an edge length of 1/5 centimeter. (1 point) Responses 1125 cubic centimeters Start Fraction 1 over 125 End Fraction cubic centimeters 85 cubic centimeters Start Fraction 8 over 5 End Fraction cubic centimeters 8125 cubic centimeters Start Fraction 8 over 125 End Fraction cubic centimeters 8 cubes
The volume of each cube with an edge length of 1/5 centimeter is (1/5)^3 = 1/125 cubic centimeters.
The volume of 8 cubes would be 8 * (1/125) = 8/125 cubic centimeters.
Therefore, the correct response is:
8/125 cubic centimeters
The volume of 8 cubes would be 8 * (1/125) = 8/125 cubic centimeters.
Therefore, the correct response is:
8/125 cubic centimeters