Question

Multiply the edge lengths of a right rectangular prism with length 1/2 m, width 1/4m, and height 5/4 m to show that the product is in the same as the volume found by the packing the prism with 10 unit cubes with an edge length of 1/4 m. What is the volume of the prism? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, let's calculate the volume of the prism using the edge lengths.

Volume = length x width x height
Volume = (1/2 m) x (1/4 m) x (5/4 m)
Volume = 5/32 cubic meters

Now, let's calculate the volume by packing the prism with unit cubes.

Volume of each unit cube = (1/4 m) x (1/4 m) x (1/4 m) = 1/64 cubic meters

Number of unit cubes = 10

Total volume = 10 x 1/64 = 10/64 = 5/32 cubic meters

As we can see, both calculations yield the same volume of 5/32 cubic meters.

Therefore, the volume of the prism is 5/32 cubic meters.