Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.