Question

Volume of a cube is 5832 cu.m. Find the cost of painting its total surface area at the rate of 3.50 per m square

Answer 1

Answer:

6804 rupees

Step-by-step explanation:

Given---> Volume of a cube = 5832 m³

and cost of painting 1 m² area = 3.50 rupees

To find ---> cost of painting total surface area

Solution---> We know that,

Volume of cube = edge³

ATQ,

Volume of cube = 5832

=> edge³ = 5832

=> edge³ = 2 × 2 × 2 × 9 × 9 × 9

=> edge³ = 2³ × 9³

=> edge = 2 × 9

=> edge = 18 m

We know that,

Total surface area of cube = 6 edge²

= 6 ( 18 )²

= 6 ( 324 )

= 1944 m²

ATQ,

Cost of painting 1 m² area = 3.50 rupees

Cost of painting total surface area

= Total surface area × cost of painting 1 m² area

= 1944 × 3.50

= 6804 rupees

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