Question

A rectangular solid is dilated by a factor of 0.5.

How many times larger is the volume of the resulting solid than the volume of the original solid?



Enter your answer as a decimal in the box.

Answer 1

Answer:

0.125 took test

Step-by-step explanation:

Answer 2

Volume of the resultant solid will be 0.125 times of the original solid.

Volume scale factor of a rectangular solid:

• If the sides of a rectangle solid is dilated by a scale factor 'k',

        Volume of the solid will be given by the expression,

        Volume = (k)³(Volume of the original solid)

If a rectangular solid is dilated by a scale factor 'k' = 0.5

Volume of the resultant solid = (0.5)³(Volume of the original solid)

                                                = 0.125(Volume of the original solid)

       Therefore, volume of the resultant solid will be 0.125 times of the original solid.

Learn more about the dilation of a rectangular solid here,

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