Question

Multiply the edge lengths of a fight rectangular prism with length 1/2, width 1 1/2, and height 3/4 to show that the product is the same as the volume you found by packing the prism with unit cubes with an edge length of 1/4 inch

Cube method:
Number of cubes: 36
Volume of each cube: 1/4x 1/4 x 1/4 = 1/64

Volume of the prism :
v=36x1/64
=36/64
=9/16 cubic units

Answer 1

[AI-generated answer — Bot GPT 3.5]

Edge lengths of the prism:

Length = 1/2
Width = 1 1/2 = 3/2
Height = 3/4

Multiplying the edge lengths:
(1/2) x (3/2) x (3/4) = 9/16

The product of the edge lengths (9/16) is equal to the volume of the prism found by packing it with unit cubes (9/16 cubic units). This confirms that the volume calculated using the cube method is correct.