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hoa [83]
2 years ago
10

A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value

of k which results in an image with each given volume.
a. 216 cubic units

k=

b. 1 cubic unit

k=

c. 1,000 cubic units

k=
Mathematics
1 answer:
Katena32 [7]2 years ago
8 0

Answer:

a. k = 27

b. k = 216

c. k = 0.216

Step-by-step explanation:

The value of the scale factor can be given by the following formula:

k = \frac{Final\ Volume}{Initial\ Volume}

where,

Initial Volume = 8 cubic units

a.

Final Volume = 216 cubic units

Therefore,

k = \frac{216\ cubic\ units}{8\ cubic\ units}

<u>k = 27</u>

<u></u>

b.

Final Volume = 1 cubic units

Therefore,

k = \frac{216\ cubic\ units}{1\ cubic\ units}

<u>k = 216</u>

<u></u>

c.

Final Volume = 1000 cubic units

Therefore,

k = \frac{216\ cubic\ units}{1000\ cubic\ units}

<u>k = 0.216</u>

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