ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Geometry Videos 51 videos

Transformations
15751 Views

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...

Translations and Functions
1284 Views

Translations: now without the trans fat. Functions: now without the…fun? Wait, scratch that. Now with extra fun! Don’t believe us? There's only...

CAHSEE Math 5.4 Measurement and Geometry
342 Views

Measurement and Geometry Drill 5 Problem 4. Which of the following best describes the transformation as shown in the graph below?

See All

CAHSEE Math 4.2 Measurement and Geometry 355 Views


Share It!


Description:

Measurement and Geometry Drill 4, Problem 2. If the dimensions of a rectangular prism were all halved, the resulting volume would be how much smaller than the volume of the original prism?

Language:
English Language

Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life.

00:07

If the dimensions of a rectangular prism were all halved…

00:10

…the resulting volume would be how much smaller than the volume of the original prism?

00:16

And here are the potential answers...

00:21

This question is testing our ability to compare

00:23

the volumes of rectangular prisms with their different dimensions.

00:28

The formula for calculating the volume of a rectangular prism is length of base times

00:32

width of base times height.

00:37

Assuming we label our original length, width and height with the variables x, y, and z…

00:42

…the volume of our original prism is x times y times z.

00:48

The dimensions of the smaller prism would be 1/2x by 1/2y by 1/2 z...

00:55

so the volume would be 1/8 xyz.

01:01

Since the original prism has a volume of xyz, the smaller prism has a volume 1/8 of the original.

01:09

Were you supposed to know this off the top of your head?

01:11

No, that's why we give you these problems, so you have a pattern.

01:15

Anyway, looks like our answer is C.

Related Videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

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

Volumen de un Cubo
754 Views

Los cubos de hielo no son ruidosos generalmente...pero tienen un volumen de tipo diferente. Este video te enseñará cómo encontrar el volumen de...

Volume
11027 Views

Volume is crucial to our lives. It determines the amount of food we eat, the amount of fluid we drink, and hydraulics, just to to name a few. One o...

Surface Area of Cylinders
14741 Views

Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Area
8485 Views

Okay, so you know the length and width of your cutting board, but how do you find the area? Watch the video and find out. Then you can brag to all...