Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Answer:
By contradiction it can be proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Step-by-step explanation:
Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.
As a result, we prove the fact.
Here, let the four number be:
The average will be Sum of all numbers divided by count of numbers.
Now, let us assume the opposite that the average is less than all the numbers.
i.e.
Now, let us add all of them:
Which can never be possible hence, our assumption is contradicted.
our assumption is wrong.
Therefore, by contradiction it is proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.