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.
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)
1 answer