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?
(1 point)
cubic meters
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To find the volume of the right rectangular prism, multiply the length, width, and height together:
Volume = length x width x height
Volume = 12m x 14m x 54m
Volume = 9072 cubic meters
To find the volume of the prism packed with 10 unit cubes, calculate the number of unit cubes it can hold:
Number of unit cubes = Volume of prism / Volume of one unit cube
Number of unit cubes = 9072 / (14m x 14m x 14m)
Number of unit cubes = 9072 / 2744
Number of unit cubes = 4
Since the prism can hold 10 unit cubes, it means that each unit cube has a volume of 14 m^3.