Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A rectangular prism has a volume of 105 m3. This prism is enlarged using a scale factor of 4. 

What is the volume of the enlarged prism?



Please Explain...


Sagot :

AL2006
The volume of the new prism is 6,720 m³ !

Here's how it works:

The volume of any rectangular prism is (length x width x height).

If you double each dimension, then  the new volume is

(2 x length) x (2 x width) x (2 x height) = 8 x (length x width x height) .
That's 8 times the original volume.
Where did the ' 8 ' come from ?
It's the cube of 2 .

In this problem, we multiplied each dimension by 4, so the new volume is

(4 x length) x (4 x width) x (4 x height) = 64 x (length x width x height) .
That's 64 times the original volume.
Where did the ' 64 ' come from ?
It's the cube of 4 .
We didn't really have to figure it out.  We knew that if you multiply each dimension
by the same number, then you multiply the volume by the cube of that number.
That's a good thing to remember.

The original volume was 105 m³ .

The new volume is (4³) x (105) = (64) x (105) = 6,720 m³


Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.