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2. A solid with volume 12 cubic units is dilated by a scale factor of k. Find the volume of the image for each given value of k.

a. k = 1/4

b. k = 0.4

c. k = 1

d. k = 1.2

e. k = 5/3

User Tai Dao
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1 Answer

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The formula for the volume of a dilated solid is:

Volume of image = (scale factor)^3 x Volume of original solid

Using this formula, we can find the volume of the image for each given value of k:

a. k = 1/4

Volume of image = (1/4)^3 x 12 = 0.1875 cubic units

b. k = 0.4

Volume of image = (0.4)^3 x 12 = 1.152 cubic units

c. k = 1

Volume of image = (1)^3 x 12 = 12 cubic units

d. k = 1.2

Volume of image = (1.2)^3 x 12 = 20.736 cubic units

e. k = 5/3

Volume of image = (5/3)^3 x 12 = 100 cubic units

Therefore, the volume of the image for each given value of k is:

a. 0.1875 cubic units

b. 1.152 cubic units

c. 12 cubic units

d. 20.736 cubic units

e. 100 cubic units
User Tony Stark
by
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