Given:
The volume of a prism with equilateral triangular cross-section is 270cm³.
Length of the prism =
cm
To find:
The length of the side of the equilateral triangular cross-section.
Solution:
Formulae used:
Area of an equilateral triangle is

Where a is the side length of equilateral triangle.
Volume of prism is

Where, B is base area and h is the height of the triangular prism.
Cross section of the prism is an equilateral triangular so the base area of the prism is
sq. cm.
The volume of the prism is




Divide both sides by 7.5.




It takes only positive value because the side cannot be negative.
Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.

<h2>
Explanation:</h2>
We have the following expression:

First of all, we need to open parentheses:

Next, combine like terms:

<h2>Learn more:</h2>
Simplify expressions: brainly.com/question/13378777
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1 foot = 12 inches
42 feet = (42 x 12) = 504
The factor of (6 inches / 42 feet) is (6 inches / 504 inches) = 1 / 84 .
The scale factor is not in inches. It's a factor, and has no units.
A 1-ft model would represent a real 84 feet.
A 1-meter model would represent a real 84 meters.
A 1-yard model would represent a real 84 yards.
Answer:
Hope this helps and it is correct!
So, the percent it grew each year (assuming it grew a consatnt amount each year) is 17.4/13
why?
13/13 = 1 year. so we do 17.4/13 to see how much it grew eahc year..
so the answer rounded off 3 decimal places is 1.338
Step-by-step explanation: