Question

if the volume of a cube is 3root3a find total surface area. solve this

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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$<u>Your Question -</u>$

If the volume of a cube is 3√3 a³, then find the total surface area of the cube.

$<u>Solution -</u>$

Volume of any cube = a³, where a is one of the equal sides (length, breadth or height)

But, volume of the given cube = 3√3 a³

=> a³ = 3√3a³

=> a = ³√(3a × 3a × 3a)

=> a = √3a

Hence, the side of the cube is 3a.


Now, total surface area of a cube = 6a²

So, total surface area of the given cube
= 6a²
= 6 × (√3a) × (√3a)
= 6 × 3a²
= 18a²

$<marquee>Hence, the total surface area of the given cube is 18a²</marquee>$
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Thank you. ;-)