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Please help, whats the right answer?

Please help, whats the right answer?-example-1
User Alan Omar
by
6.1k points

1 Answer

5 votes

Answer:

A. 1,485 cubic cm. B. 27

Explanation:

The new prism is dilated by a factor of 3, that means it's made bigger, 3 times bigger on each side.

The dimensions of the new prism are then 12 cm by 7.5 cm by 16.5 cm.

Its volume is then of 12 x 7.5 x 16.5 = 1,485 cubic cm

To answer the second question...

Let's calculate the volume of the original prism:

The original prism's volume was 4 x 2.5 x 5.5 = 55 cubic cm

The new volume is then 1485 / 55 = 27 times bigger than the original.

Which is normal, since we increased each side (dimension) by a factor of 3, so 3x3x3 = 27.

User Curious Sam
by
6.9k points
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