ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Area and Volume Videos 38 videos
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...
SAT Math 1.4 Geometry and Measurement. If the sides of a square increase in size by 25%, what happens to the area of the square?
SAT Math 1.5 Geometry and Measurement. How many jars of paint will Sierra need?
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?
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
Full Transcript
- 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: Algebra and Functions Drill 5, Problem 3. Solve the equation.
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 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...
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
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...