Question

7. A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 46 ft. Round to the nearest tenth, if necessary. (1 point)
30 ft3
40 ft3
60 ft3
120 ft3

Answer 1

@soprano.h.d0816

Answer 2

Do you know how to find volume?

Answer 3

no

Answer 4

The cube of the scale factor of two similar rectangular solids is equal to the ratio of the volumes of the two similar solids.

The scale factor in this case is the ratio of the widths: 92/23. Following the theorem, (92/23) ^ 3 = 240/V where V is the volume of the rectangular solid with width 23.

Answer 5

Would it be 60? @soprano.h.d0816

Answer 6

@agent0smith can you see if this is correct. Like, double check me lol

Answer 7

? @agent0smith

Answer 8

So I'm assuming I was right?

Answer 9

I'm saying you are correct. I'm guessing he's busy. Lol

Answer 10

Ok. Can you help me with another?

Answer 11

Sure!

Answer 12

Thanks! Hold on a sec

Answer 13

Okay(:

Answer 14

Find the value of the similar figures

Answer 15

I think it's 2cm

Answer 16

How'd you get 2?

Answer 17

The answer choices are
3 cm
18 cm
16 cm
2 cm

Answer 18

Oh I don't have my paper that I wrote my answer and work for bc my mum threw it away

Answer 19

Okay.
So, what you would do is set it in a proportion. Correct?

Answer 20

Um yes

Answer 21

So, the propertion would look like:
\[\frac{ 15 }{ 6 } = \frac{ 5 }{ x }\]

Then you would cross multiply.

Answer 22

Yes

Answer 23

What do you get when you cross multiply? Like, what's the equation you got?

Answer 24

OH! Wait I got it I know that it's 2

Answer 25

Good!!