Surface Area of a Cube (Problem)

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