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
A
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
B
Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
C
Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
D
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction
B
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction = 1/2 × 3/2 × 3/4 = 9/16 cubic units