ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry Videos 51 videos
GED Math 5.4 Measurement. What is the volume of a sphere that measures 18 meters across?
If you were looking for the trailer for the new Michael Bay movie, you've got the wrong number. Transformations are rotations, reflections, and tra...
CAHSEE Math 3.2 Measurement and Geometry 667 Views
Share It!
Description:
Measurement and Geometry Drill 3 Problem 2. What is the total surface area of the box?
Transcript
- 00:03
Here’s an unshmoopy question you’ll find on an exam somewhere in life…
- 00:07
The side lengths of the box shown below have been labeled.
- 00:11
What is the total surface area of the box?
- 00:15
And here are the potential answers...
- 00:19
This question is testing whether we can visualize. And… well… think.
Full Transcript
- 00:23
In the case of this box, we know it has 6 sides, or 3 pairs of equal sized sides.
- 00:32
Here, here, and here…
- 00:35
Don’t look behind your PC, that's not going to help.
- 00:38
So to get the area we can just calculate the surface area of the sides we see –
- 00:44
then double ‘em. Like the gum.
- 00:47
Since we know that surface area is just base times height, side A here is 7 by 3.5 inches…
- 00:54
or 24.5 square inches.
- 00:59
Side B here is 3.5 times 3… or 10.5 square inches
- 01:07
And Side C here is 7 times 3 inches… or 21 square inches.
- 01:11
We can add the 3 sides – 24.5 plus 10.5 plus 21 and we get 56
- 01:18
for HALF the box’s surface area.
- 01:21
Now we double it and we get 112 – so it’s answer D.
- 01:27
As in… “Double the pleasure, double the fun.”
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
ACT Math: Plane Geometry Drill 4, Problem 1. What is the radius of the sphere?
ACT Math: Plane Geometry Drill 4, Problem 5. What is the height of the prism?
ACT Math: Plane Geometry Drill 5, Problem 5. How much material do you need to cover the entire tent?