a cube of side 4 cm is painted on all of its faces if it is sliced into one cubic centimetre cube then number of 1 cubic centimetre cubes will have exactly their three faces painted is
Answers
Answer:
Explanation:
There are six sides of the cube and as side of cube is
5
cm and hence each side will have
5
×
5
=
25
one cubic centimeter cubes painted.
However, all the cubes on sides and corners will have painted sides more than one as they share with adjoining sides and only
3
×
3
=
9
one cubic centimeter cubes will have one side painted.
As there are six sides,
9
×
6
=
54
one cubic centimeter cubes will have exactly one of their sides painted.
Step-by-step explanation:
make brainliest answer
Step-by-step explanation:
Question : Prove that√5 is irrational.
Answer :
Let us assume that √5 is a rational number.
Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0
⇒√5=p/q
On squaring both the sides we get,
⇒5=p²/q²
⇒5q²=p² —————–(i)
p²/5= q²
So 5 divides p
p is a multiple of 5
⇒p=5m
⇒p²=25m² ————-(ii)
From equations (i) and (ii), we get,
5q²=25m²
⇒q²=5m²
⇒q² is a multiple of 5
⇒q is a multiple of 5
Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√5 is an irrational number
Hence proved