Question

The volume of a cube is 343 cu. Cm. Find the surface area of this cube.

Answer 1

Answer:

294 cm²

Step-by-step explanation:

Given---> Volume of a cube = 343 cm³

To find---> Surface area of cube

Solution---> We know that,

Volume of cube = edge³

ATQ, Volume of cube = 343

edge³ = 343

We know that prime factorizatin of 343 is,

343 = 7 × 7 × 7

=> edge³ = 7 × 7 × 7

=> edge³ = 7³

=> edge = 7 cm

We know that,

Surface area of cube = 6 ( edge² )

= 6 ( 7 )²

= 6 ( 49 )

= 294 cm²

Additional formulee--->

1) Lateral surface area of cube = 4 edge²

2) Volume of cuboid = l × b × h

3) Lateral surface area of cuboid = 2 ( l + b ) h

4) Total surface area of cuboid = 2 ( lb + bh + lh )

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Answer 2

Answer:

Step-by-step explanation:

Given---> Volume of a cube = 343 cm³

To find---> Surface area of cube

Solution---> We know that,

Volume of cube = edge³

ATQ, Volume of cube = 343

edge³ = 343

We know that prime factorizatin of 343 is,

343 = 7 × 7 × 7

=> edge³ = 7 × 7 × 7

=> edge³ = 7³

=> edge = 7 cm

We know that,

Surface area of cube = 6 ( edge² )

= 6 ( 7 )²

= 6 ( 49 )

= 294 cm²

Additional formulee--->

1) Lateral surface area of cube = 4 edge²

2) Volume of cuboid = l × b × h

3) Lateral surface area of cuboid = 2 ( l + b ) h

4) Total surface area of cuboid = 2 ( lb + bh + lh )