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 12×32×32 Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction 12×32×34 Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction 12×12×34 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
12 × 112 × 34 = 46176
This product is equal to the volume found using the cube method, which is 916 cubic units.
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My apologies for the error in my response. Let's calculate the product of the edge lengths of the right rectangular prism correctly.
Length = 12 inches
Width = 112 inches
Height = 34 inches
Product of the edge lengths:
12 * 112 * 34 = 46176
The product of the edge lengths of the prism is 46176 cubic inches. This is the same as the volume found by packing the prism with unit cubes with an edge length of 14 inches.