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Surface Area of a Cube (Problem) 431 Views
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Transcript
- 00:00
Thank you We sneak in surface area of a cube
- 00:06
Flashman Harold the hobo would like to cover his new
- 00:09
box while he sleeps at night So no one sees
- 00:11
it and tries to steal it Heralds not the smartest
- 00:14
knife in the drawer But man he sure wishes he
Full Transcript
- 00:17
had a drawer Assuming harold knows the volume of the
- 00:20
cube is one thousand seven hundred twenty eight miller leaders
- 00:24
How much material will he need to make a perfect
- 00:26
fitting box Cozy waken Use the cubes volume to help
- 00:30
harold figure out its surface area And here our choices
- 00:34
Where's there Well first let's break down that box We
- 00:38
can start by working backwards way Know that the volume
- 00:41
of our cube is one thousand seven hundred twenty eight
- 00:44
Volume is length times with times height Lucky for us
- 00:49
all in the same length in a cube while they
- 00:51
find volume we can raise length with or height to
- 00:54
the third power Or cubitt always simply need to take
- 00:58
the cube root of the volume The cube root of
- 01:01
one thousand seven hundred twenty eight is twelve This wealth
- 01:04
and focus Well there's our length with and height now
- 01:09
Let's find the surface area of one side well multiply
- 01:12
the boxes with by its height right so that's just
- 01:15
twelve times twelve which is one hundred forty four How
- 01:17
many sides are there again harold Yes six of them
- 01:21
so one hundred forty four times six eight hundred sixty
- 01:25
four And choice you're the winner Now harold has enough
- 01:28
material to hide his home Leave tight harold don't let 00:01:31.72 --> [endTime] the literal bedbugs bite No