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13 August, 02:56

A rectangular prism has a width of 3 inches, a height of 4 inches, and a depth of 5 inches. If the width is multiplied by 3, what happens to the volume?

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  1. 13 August, 06:01
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    The volume is also tripled when one length of the prism is tripled. It becomes 180 cubic inches instead of 60 cubic inches.

    Step-by-step explanation:

    Volume is the measurement of the amount a 3D object can hold. Each 3D object has 3 measurements: length, width, and height ... This object is a rectangular prism. Its volume is found as V = l*w*h. Substitute h = 4, l = 5, and w = 3. Then simplify for the volume.

    V = l*w*h

    V = 5*3*4

    V = 60 cubic inches

    Now repeat the process except multiply the depth by 3. So the length 5 inches becomes 15 inches. Substitute and simplify.

    V = 15*3*4

    V = 180 cubic inches

    The volume is also tripled when one length of the prism is tripled.
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