To find the volume of the prism, we multiply the edge lengths:
Volume = length x width x height
Volume = (1/2) x (1/4) x (5/4)
Volume = (1/2) x (1/4) x (5/4)
Volume = 5/32 cubic meters
To confirm that the product is the same as the volume found by packing the prism with 1/0 unit cubes with an edge length of 1/4 m, we can calculate the number of unit cubes needed to fill the prism:
Number of unit cubes = Volume of prism / Volume of 1 unit cube
Number of unit cubes = (5/32) / (1/64)
Number of unit cubes = (5/32) x (64/1)
Number of unit cubes = 320
Therefore, the volume of the prism is 5/32 cubic meters.
Multiply the edge lengths of a right rectangular prism with length 1/2 m, width 1/4 m, and height 5/4 m to show that the product is the same as the volume found by packing the prism with 1/0 unit cubes with an edge length of 1/4 m. What is the volume of the prism?
(1 point)
__cubic meters
1 answer