Can a triangle be formed if the side lengths are 10, 23, and 10?
2 answers:
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We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.
We know that formula for permutations is given as
On substituting the given values in the formula we get,
Therefore, there are 39270 ways in which prizes can be awarded.
Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
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Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
To find 2 triangles, we will do:
But to find 4 triangles in just 1 step, we will do:
Let's do it!
<em>The surface area of the 4 triangles are 20 square inches</em>
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Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2><em></em>
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