Question

A classroom has a volume of 288m3

What is its volume in cm3?

Answer 1

Well same thing, cube root 288 to get meters

Answer 2

0.006604

Answer 3

Then convert meters to centimeters then cube the value

Answer 4

6.604 meters to centimeters is?

Answer 5

would we have to multiple it threetimes

Answer 6

Yes

Answer 7

660.4 centimeters

Answer 8

right

Answer 9

Well done

Answer 10

Now you want it cm3 so, cube it

Answer 11

288019036.9

Answer 12

right

Answer 13

Um you should put it in scientific notation that'll make things cleaner, do you know how?

Answer 14

2.8801

Answer 15

right

Answer 16

Yep, what are the exponent for 2.8801?

Answer 17

\[\huge 2.8801 \times 10^{?}\]

Answer 18

8

Answer 19

Good job

Answer 20

We're done :)

Answer 21

can you help with one more please

Answer 22

\[\Large 2.88\times 10^8 \text{cm}^3\]

Answer 23

Okay I might have some time left

Answer 24

a NASA satellite showed that in 2009 the ozone hole over Antarctica had a maximum surface area of 24.1 million km2. The largest ozone hole on record occurred in 2006 and had a surface area of 29.6 million km 2.
Calculate the difference in diameter (in meters) between the ozone hole in 2009 and in 2006.

Answer 25

They want the 'difference', so what's your approach?

Answer 26

subtraction

Answer 27

Mhm good

Answer 28

Um we should not have negative areas, lol

Answer 29

yes so 29.6-24.1

Answer 30

right

Answer 31

Yup

Answer 32

5.5

Answer 33

Now, they say the values are in "million km2" which means 5.5 million km2, or
\[5.5 \times 10^{6} km^2\]

Answer 34

the anwer is 5.5*10^6

Answer 35

For km2 to km, you'll be square rooting \(5.5\times 10^{6}\)

Answer 36

Nope, they want it in meters

Answer 37

First you will convert km2 to km, then, multiply by 1000 for the conversion of km to m, then, square your answer to get m2

Answer 38

Like this
\[km^2 \rightarrow km \\ \sqrt{5.5 \times 10^6km^2}=2345km\]
\[km \rightarrow m \\ 2345 km \times 1000=2345000m\]
\[m \rightarrow m^2 \\(2345000m)^2=2345000^2m^2=5.5 \times 10^{12}m^2\]

Answer 39

Yep, bob's ur uncle :)

Answer 40

can you do one more

Answer 41

I gotta go, post a link in the math chat see if someone responds :) cya