Compare Methods of Finding Volume Quick Check

Question

1 of 51 of 5 Items
Question
Use the image to answer the question.

An illustration shows a 3 D rectangular cuboid segmented into multiple blocks. It shows two adjacent sets of a 3 row by 6 column grid. The width is start fraction 1 over 2 end fraction, the length is 1 start fraction one over 2 end fraction, and the height is start fraction 3 over 4 end fraction.

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

12×32×34
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction

12×112×34
Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction

12×32×32
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
Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
Skip to navigation

Answer 1

The correct response is:

12×12×34
Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction