Multiply the edge lengths of a right rectangular prism with length 12, width 112, and height 34 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 14 inch.
Cube method:
Number of cubes: 36
Volume of each cube: 14×14×14=164
Volume of the prism:
v=36×164
=3664
=916 cubic units
(1 point)
Responses
12×112×34
Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
12×32×34
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
12×32×32
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction
12×12×34
12 x 112 x 34= 46272
Volume of the prism by multiplying edge lengths: 46272
Volume of the prism by packing with unit cubes: 916
Therefore, 46272 = 916, showing that both methods calculate the same volume for the prism.