Question

Find the volume of a cubical box if the cost of painting the outer surface is Rs 1440 at the rate of Rs 15 per sq m

Answer 1

Answer:

64

Step-by-step explanation:

Cost of painting at Rs 15 = 1440

Surface Area = 1440/15

= 96m²

Surface area of cube = 6(s²)

96 = 6(s²)

96/6= side²

16= side²

4 = side

Volume of a cube = s³

= 4³

= 64

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Answer 2

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GIVEN,

• the cost of painting the outer surface is Rs 1440.
• the rate of cost ~ Rs 15 per sq m

TO FIND : the volume of a cubical box.

_____________S∅LUTIØN______________

• Total surface area of the cube = Total cost of painting/ rate of cost .

=> Total surface area of the cube= 1440/ 15

= 96 m²

• Let the one side of the cube be ~ l

• As we know that, surface area of a cube =6l²

=> 96 = 6l²

=> l² = 96/ 6

=> l² = 16

=> l = √16

=> l = 4 m.

SO, Length of one side of the cube is 4m.

• Now , Volume of the cube = l³

=( 4 m)³

= 64 m³. ✓