# NCERT Exemplar Solutions Class 9 Mathematics Solutions for Surface Areas and Volumes - Exercise 13.1 in Chapter 13 - Surface Areas and Volumes

Question 2 Surface Areas and Volumes - Exercise 13.1

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

(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.

Video transcript
"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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