Multiply the edge lengths of a right 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: 1/4×1/4×1/4=1/64
Volume of the prism:
v=36×1/64
=36/64
=9/16 cubic units
(1 point)
Responses
1/2×3/2×3/2
1/2×3/2×3/4
1/2×1/2×3/4
1/2×11/2×3/4
1/2 x 3/2 x 3/4 = 9/16
So, multiplying the edge lengths of the rectangular prism also gives a volume of 9/16 cubic units, which matches the volume of the prism found by packing it with unit cubes.