ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry Videos 251 videos
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...
It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a...
ACT Math 3.4 Plane Geometry 507 Views
Share It!
Description:
ACT Math: Plane Geometry Drill 3, Problem 4. What is the volume of the cube?
Transcript
- 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
Full Transcript
- 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.
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...