ShmoopTube

00:02

And here's your shmoop du jour...

00:04

The surface area of a cube is 294 square inches.

00:08

What is the volume of said cube?

00:12

And here are the potential answers...

00:15

Well problems with any kind of cube

00:17

are kinda nice because you just have to figure out one side

00:21

then multiply by six. Yeah one for each side of the cube.

00:24

Okay the surface area is side time side

00:28

times 6 so in this case we just divide 294

00:32

by six. Do that first to get 49

00:35

So thats the area of a side

00:38

and the formula for area length times height

00:41

and since it's cube we know length and height are

00:44

equal in length well the only number that will satisfy the stack is seven

00:48

times seven

00:49

thats 49 the length of one side is 7

00:53

and we know that the formula for the volume of a cube is

00:57

length times height times depth

01:00

in this case it's 7 times 7 times 7 and the volume is 343

01:06

also know that the inches argued that third power or cubed

01:10

so watch out for it. Looks like C is our answer.

Full Transcript