ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Math III Videos 103 videos

Unit Rate
20718 Views

Approximately 874 people per day wonder what a unit rate is. If you're one of them, check out our video on unit rates and how to use them. (We just...

Solving Proportions Using Cross Products
6802 Views

This video covers how to use cross products to solve for a missing number in a proportion by setting that proportion with a variable over the produ...

GED Math 2.4 Rational Numbers
190 Views

GED Math 2.4 Rational Numbers. Lucius's favorite restaurant is how many km from his home?

See All

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?

Language:
English Language

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.

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 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

ACT Math 4.1 Plane Geometry
1147 Views

ACT Math: Plane Geometry Drill 4, Problem 1. What is the radius of the sphere?

ACT Math 4.5 Plane Geometry
253 Views

ACT Math: Plane Geometry Drill 4, Problem 5. What is the height of the prism?

ACT Math 5.5 Plane Geometry
601 Views

ACT Math: Plane Geometry Drill 5, Problem 5. How much material do you need to cover the entire tent?

SAT Math 9.5 Geometry and Measurement
199 Views

SAT Math 9.5 Geometry and Measurement