Use the image to answer the question.
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?
To find the volume of the rectangular prism with length 12m, width 14m, and height 54m, we multiply the three edge lengths:
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 with an edge length of 14m, we calculate:
Volume = Number of cubes x Volume of each cube
Volume = 10 x 14m x 14m x 14m
Volume = 2744 cubic meters
Therefore, by multiplying the edge lengths of the rectangular prism, we show that their product is the same as the volume found by packing the prism with unit cubes. The volume of the prism is 9072 cubic meters.