First, find the volume of the rectangular prism with length 12 m, width 14 m, and height 54 m:
Volume = length x width x height
Volume = 12 m x 14 m x 54 m
Volume = 9072 cubic meters
Now, find the product of the edge lengths of the prism:
12 m x 14 m x 54 m = 9072 cubic meters
This shows that the product of the edge lengths is the same as the volume of the prism.
To find the volume of the prism packed with 10 unit cubes with an edge length of 14 m, simply multiply the number of unit cubes by the volume of each cube:
Volume = 10 unit cubes x (14 m)^3 = 10 x 2744 = 27440 cubic meters
Therefore, the volume of the prism is 9072 cubic meters.
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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