Compare Methods of Finding Volume Quick Check
Multiply the edge length of a right rectangular prism with length 1/2, width 1 1/2, and height 3/4 to show that the product is the product 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: 1/4 x 1/4 x 1/4 = 1/64
Volume of the prism: v = 36 x 1/64
= 36 x 1/64
= 36/64
= 9/16 cubic units
(1 point)
Calculation method:
Edge length: 1/2 x 1 1/2 x 3/4 = 9/16
Volume of the prism: v = 9/16 x 9/16 x 9/16
= 729/4096 cubic units
Comparing the two methods:
Volume from cube method: 9/16 cubic units
Volume from calculation method: 729/4096 cubic units
The volume found by using the cube method matches the volume found by calculation method, as both results are equivalent.