Question

Use the image to answer the question. 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 12×32×32 Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction 12×112×34 Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction 12×12×34 Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction 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 Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

12×32×34 = 1152

The product of the edge lengths of the right rectangular prism is 1152, which is equal to the volume of the prism calculated by packing it with unit cubes with an edge length of 14 inches. This confirms that the volume of the prism is 916 cubic units.