Question

@roz_mar23 @bohotness @Demonx341

The rectangular prism shown has a volume of 105 m3. This prism is enlarged using a scale factor of 4.

What is the volume of the enlarged prism?



A.
6720 m3

B.
1680 m3

C.
840 m3

D.
420 m3

Answer 1

idk if you really need it but here
http://static.k12.com/calms_media/media/1394500_1395000/1394724/1/000cec99f0bfdebeba31c5fffe93656b64a1b08f/67463_FGA_U5_L7_V1-3.jpg

Answer 2

thats the rectangle

Answer 3

The volume of the new prism is 6,720 m³ !

Here's how it works:

The volume of any rectangular prism is (length x width x height).

If you double each dimension, then the new volume is

(2 x length) x (2 x width) x (2 x height) = 8 x (length x width x height) .
That's 8 times the original volume.
Where did the ' 8 ' come from ?
It's the cube of 2 .

In this problem, we multiplied each dimension by 4, so the new volume is

(4 x length) x (4 x width) x (4 x height) = 64 x (length x width x height) .
That's 64 times the original volume.
Where did the ' 64 ' come from ?
It's the cube of 4 .
We didn't really have to figure it out. We knew that if you multiply each dimension
by the same number, then you multiply the volume by the cube of that number.
That's a good thing to remember.

The original volume was 105 m³ .

The new volume is (4³) x (105) = (64) x (105) = 6,720 m³

Answer 4

um give me about 5 min i need to read this XD

Answer 5

k

Answer 6

ok thank you

Answer 7

yw