Question

if the surface area of a cube is 96 sq cm , then its volume is​

Answer 1

Answer:

volume of a cube is 64

Step-by-step explanation:

surface area of a cube = 6a2

given surface area of a cube = 96

6a2= 96

a2 =96÷6

a2 =16

a=✓16

a = 4

now,

volume of a cube=a3

volume of a cube= (4)3

=4×4×4

=64

Answer 2

Answer:

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$\sf{ \orange{given}{} }{}$

A cube of TSA = 96 sq cm

$\sf{ \green{to \: find \: }{} }{}$

Volume of the cube

$\sf{ \bold{ \blue{solution \: of \: the \: question}{} }{} }{}$

Let the length of the side of a cube be = a cm

Total surface area (TSA). = 96 sq cm

Cube = 6 a^2 sq cm-----(i)

According to the question above

TSA Of the Cube = 96 sq cm----(ii)

(i) = (i)

$6a { \: }^{2} = \: 96 \\ a {}^{2} = 96 \div 16 \\ a {}^{2} = 16 \\ a \: = \sqrt{16 } \\ a = 4$

Since a =4

Volume of the cube = a^3

a = 4

so, 4^3 = 64 cm^3

$\sf{ \purple{answer \: is \: 64 }{} }{ \: cm \: cube}$