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CAHSEE Math 3.2 Measurement and Geometry 679 Views
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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.”
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