Respuesta :
The Volume will be multiplied by 3. A.
I'm sure there is another way to go about this but I just used a test value of 2 for the length, width and height.
Then adjusted the equation and re-inserted the values and the Volume was tripled.
V=L*W*H then after adjustments
V=2L*1/2W*3H.
I'm sure there is another way to go about this but I just used a test value of 2 for the length, width and height.
Then adjusted the equation and re-inserted the values and the Volume was tripled.
V=L*W*H then after adjustments
V=2L*1/2W*3H.
Answer:
Option A - The volume is multiplied by 3.
Step-by-step explanation:
Given : A rectangular prism is changed by doubling its length, halving its width, and tripling its height.
To find : How will these changes affect its volume?
Solution :
Let L be the length, W be the width and H be the height of the rectangular prism.
The volume of the rectangular prism is [tex]V=L\times W\times H[/tex]
Now, A rectangular prism is changed by doubling its length, halving its width, and tripling its height.
i.e. L=2L , [tex]W=\frac{1}{2}W[/tex] and H=3H
Substituting in the volume formula,
[tex]V=2L\times \frac{1}{2}W\times 3H[/tex]
[tex]V=3(L\timesW\times H)[/tex]
Which means the volume is multiplied by 3.
Therefore, Option A is correct.
