The volume of a rectangular prism is calculated by multiplying its length, width, and height.
Volume of the rectangular prism = length * width * height
Volume = 12m * 14m * 54m
Volume = 9072 m^3
The volume can also be calculated by packing the prism with unit cubes.
Number of unit cubes = 10 (as given)
Unit cube size = 14m
Volume of unit cube = (14m)^3 = 14m * 14m * 14m = 2744 m^3
Total volume of 10 unit cubes = 10 * 2744 m^3 = 27440 m^3
Since both calculations result in the same volume, it confirms that the product of the edge lengths of a right rectangular prism is equal to the volume found by packing the prism with unit cubes.
Therefore, the volume of the prism is 9072 m^3.
Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid segmented into 5 rows by 2 columns of blocks. The length is start fraction 1 over 2 end fraction, width is start fraction 1 over 4 end fraction, and height is start fraction 5 over 4 end fraction.
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?
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