Answer:
The length of prism is <u>9 centimetres</u>.
Step-by-step explanation:
Given:
The volume of a rectangular prism is 72 cubic centimeters.
The prism is 2 centimeters wide and 4 centimeters high.
Now, to find the length of prism:
Let the length be 
.
Width = 2 centimeters.
Height = 4 centimeters.
Volume = 72 cubic centimeters.
So, putting the formula to get the length of prism:
Dividing both sides by 8 we get:
Length = 9 centimetres.
Therefore, the length of prism is 9 centimetres.
To estimate a square root, find the two perfect squares the number is closest to, then continue with further decimals, i.e. if the question is square root of 5, it is between 4 and 9. As such, the answer is between 2 and 3. Alternatively, use a calculator for a quick estimation of many decimal points.
Answer: 
This is the same as saying 18*sqrt(2) or you could say 18√2
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Explanation:
We'll be using this square root rule: 
So we could have this as our steps:
Therefore, 
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
Answer:
6 × 8
Step-by-step explanation:
Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.
So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:
(24/4) x (32/4) = 6 x 8
It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.
