Mr. kelly uses an expression to represent the perimeter of a square. Rewrite the expression to represent the length of a side of
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Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
<u>Pyramid A</u>
-- base sides
-- Volume
<u>Pyramid B</u>
--- base sides
Required
Determine the volume of pyramid B <em>[Missing from the question]</em>
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
Where B represents the area of the base equilateral triangle, and it is calculated as:
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
The height is calculated from:
This gives:
Make h the subject
To calculate the volume of pyramid B, we make use of:
Since the heights of both pyramids are the same, we can make use of:
The base area B, is then calculated as:
Where
So:
So:
Where
and
ANSWER
EXPLANATION
It was given that ∆CDE is an isosceles triangle.
The length of the sides are given in terms of x as follows.
It was also given that, angle D is congruent to angle E.
This implies that, side CD and CE are equal.
Thus,
In terms of x, we have;
We group like terms to get,
Divide both sides by 12 to get,
The length of the sides are;
EXPLANATION
It was given that ∆CDE is an isosceles triangle.
The length of the sides are given in terms of x as follows.
It was also given that, angle D is congruent to angle E.
This implies that, side CD and CE are equal.
Thus,
In terms of x, we have;
We group like terms to get,
Divide both sides by 12 to get,
The length of the sides are;