Question

Use the image to answer the question. Multiply the edge lengths of a right rectangular prism with length 12 m, width 14 m, and height 54 m to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge length of 14 m. What is the volume of the prism? (1 point) cubic meters Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of the prism is the product of its length, width, and height:

Volume = length x width x height
Volume = 12m x 14m x 54m = 9072 cubic meters

To show that the product is the same as packing the prism with unit cubes, we can calculate the volume of a single unit cube that has an edge length of 14m:
Volume of unit cube = 14m x 14m x 14m = 2744 cubic meters

Now, we can divide the volume of the prism by the volume of a unit cube to see if the product is the same as packing the prism with unit cubes:
9072 cubic meters / 2744 cubic meters = 10 unit cubes

Therefore, the volume of the prism is 9072 cubic meters.

Answer 2

What is the volume of a rectangular prism with a length of 423 ft., a height of 313 ft., and a width of 212 ft.?(1 point) ft.3

Answer 3

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular prism is the product of its length, width, and height:

Volume = length x width x height
Volume = 423 ft x 313 ft x 212 ft = 28866788 ft^3

Therefore, the volume of the prism is 28,866,788 cubic feet.

Answer 4

What is the volume of a rectangular prism with a length of 4/2/3 ft., a height of 3/1/3 ft., and a width of 2/1/2 ft.?(1 point) ft.3

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the volume of the rectangular prism, we need to multiply the length, width, and height:

Volume = length x width x height
Volume = (4/2/3) ft x (3/1/3) ft x (2/1/2) ft
Volume = (4/2/3) x (3/1/3) x (2/1/2) cubic feet
Volume = (4/3) x (1) x (1) cubic feet
Volume = 4/3 cubic feet

Therefore, the volume of the prism is 4/3 cubic feet.

Answer 6

In cubic feet, what is the volume of a toy box measuring 3/3/4 feet long, 2/1/2 feet wide, and 2/1/2 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.(1 point) ft.3

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the volume of the toy box, we multiply its length, width, and height:

Volume = length x width x height
Volume = (3/3/4) ft x (2/1/2) ft x (2/1/2) ft
Volume = (15/4) ft x (5/2) ft x (5/2) ft
Volume = (15 * 5 * 5) / (4 * 2 * 2) ft^3
Volume = 375 / 16 ft^3

The volume of the toy box in mixed fraction form is 23 7/16 cubic feet.