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In Mathematics / High School | 2014-05-20

What is the new volume of a rectangular prism that is originally 12 cubic meters and is then resized using a scale factor of 4 on each side length?

Asked by KennethCucchiara299

Answer (2)

lets say each side length of the prism is 1, 3, and 4, 1x3x4=12 cubic meters you then times each by four 1x4=4 3x4=12 4x4=16 you then multiply them together 4x12x16 and the answer would be what it equals 4x12x16=768 cubic meters so the new prism's volume would be 768 cubic meters

Answered by draonrider | 2024-06-10

The new volume of the rectangular prism after resizing with a scale factor of 4 on each side length is 768 cubic meters. This is calculated by multiplying the original volume of 12 cubic meters by 4 cubed (64). Thus, the new volume is obtained using the formula V_new = V_original × (scale factor)³.
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Answered by Anonymous | 2024-10-02