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Naily [24]
3 years ago
14

Box A has a volume of 12 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were multiplied by five. W

hat is the volume of box B?. 60 m3. 300 m3. 1,500 m3. 7,500 m3
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
5 0
Let us assume the volume of box B = x
Now, the formula that needs to be followed is
(scale factor)^3 = Volume of Box A/volume of Box B
(1/5)^3 = 12/x
1/125 = 12/x
x = 12 * 125
   = 1500 m^3
So, from the above deduction, we can conclude that the option that is correct is the third option. I hope the answer helps you.
cestrela7 [59]3 years ago
3 0

The formula for the volume of a box (assuming that it is in the shape of a cube) is <u>V=B^3</u>.

12=B^3

Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.

B= about 2.29 (when doing on a calculator keep full answer and do not round)

Now to find the volume of box B, multiply each dimension by 5

5(2.29...) times 5(2.29...) times 5(2.29...)

=1,500 m^3

Hope this helps!

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