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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Mensuration - Exercise in Chapter 11 - Mensuration
Question 1 Mensuration - Exercise
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of the
(a) 27 (b) 42 (c) 54 (d) 142
Answer:
The correct answer is option (c) 54
Explanation:
Given: The cube side = 5 cm
The side of cube 5cm is cut into 5 equal parts, in which each of 1 cm. Therefore, the total number of cubes of side 1 cm = 25 + 25 + 25 + 25 + 25 = 125.
In one face of cube, there are total of 9 small cubes painted.
We know that, there are 6 faces in cube.
Thus, total of 9 x 6 faces will have one face painted. (i.e.) 54
Video transcript
"hello bacho hi
i am devdal tutor at lido learning
i teach math and science and i love
these two subjects
so we'll be doing a question from maths
a sum from maths what's the given
question a
cube of a site five centimeter is
painted
on all it faces it's given the
cube of side five centimeters painted
all its fetches
if it slides into one cubic
centimeter cube then we have to find how
many one cubic centimeter cubes will
exactly
have one of the dash
or one of the following answer so one
answer is correct over here so what we
have to find we have to find
how many one cubic centimeter cubes will
have exactly
one side of face tk so now it's given
it's given that it's given in the
question it's already given in the
question
that the cube side cube side is of 5
centimeter
cube side is given as 5 centimeter
now we can write it down here we can
also write it down here
that the side okay the side
of cube of cube
five centimeter is cut
is cut into how many parts
five equal parts five
equal parts so we can also write
in which
each of one centimeter
parts are there so the side of
cube five centimeter is cut into five
equal parts
in which each of them are of one
centimeter
therefore we can write therefore we can
write
what we can write therefore the total
number
of cube will be the total number of cube
will be or the total number of cube of
side will be
how much it's given already 1
centimeters will be equals to
25 plus 25 plus 25
plus 25 plus 25 so
by calculating we'll be having the value
equals to
125 so one face
of a cube of cube one face of cube
are what one face of cube
will be equals to 125 so there
are how many faces six faces so there
are six faces
in cube thus does
what does again
we can see this total
of nine multiplied with six will faces
faces will be will be or will have to be
painted okay
we'll have faces painted okay we'll have
faces painted so we'll be having
the correct answer 9 into 6 we know 9
into 6 is how much
9 into 6 is 9 multiplied by 6 is
54 so the correct answer will be
which one option c so option c
is the correct answer i'm highlighting
this answer for you better
answer part options is the correct
option
i hope you like this video if you do
subscribe to our channel if you have any
question query or doubts do comment and
reach to us
see you soon in lido have a great day
ahead
thank you for watching this video bye
bye"
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