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The total surface area of a cube is 96 cm2. The volume of the cube is:

(A) 8 cm3 (B) 512 cm3 (C) 64 cm3 (D) 27 cm3

Answer:

(C) 64 cm3

**Explanation:**

The surface area of a cube is 96 cm2

Let the length of the cube is l cm.

Thus,

6 × l2 = 96

According to formula

l2 = 96/6

l2 = 16

l = 4

Thus the length of the cube is 4 cm.

Volume of a cube = l3

= 43

= 64

Thus volume is 64 cm3 which is option c.

Hence, option C is the correct answer.

"hello student welcome back on the leader
without solving session
and in today's session we are going to
find out the
volume of all right so the total surface
area is given here
that is 96 centimeter square and
we are going to find out the volume all
right
so let's solve this question
okay so according to the question
to the surface area total
surface area is given here
surface area
is equal to 96
centimeter square all right
okay so
okay suppose consider
okay i'll be done
it'll be the length of the
cube length of the
cube
all right i will find out the
value of the length right so that that's
why
surface area of the cube is
surface area
a is equals to
6 l square all right
okay so we'll put the value of area here
that means okay 6 n square
is equals to 96
right that's why l square
is equals to 96 upon
6 okay which is equals to
16 right and that's why
the length of the cube will be
l is equals to 4 centimeter
all right so we got the length of the
cube
now we will apply the formula of volume
of cube
and we will find out the answer so
volume of the cube
volume is equals to the standard formula
is
l cube all right so which is equals to
4 cube that means
4 into 4
into 4 right
so that's why the volume
will be
64 centimeter
cube all right
and that's why option c is correct here
i hope you understood how to find out
the volume of cube
if you have any doubt please leave the
comment below and please do subscribe
please do subscribe to this channel
so that you will get notification for
upcoming video
thanks for watching this bye
"

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