Question

The length breadth and height of a cuboid is are in ratio 5,3,4. If the volume of a cuboid is 202500 cm3. Find the tsa of cuboid

Answer 1

ans is 122223

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Answer 2

Given:

• Length, l = 5x

• Breadth, b = 3x

• Height, h = 4x

• Volume,V = 202500 cm³

To find out:

Find the TSA of cuboid.

Formula Used:

• Volume of cuboid = l × b × h

• T.S.A of cuboid = 2( lb + bh + hl )

Solution:

Volume = l × b × h

⇒ 202500 = 5x × 3x × 4x

⇒ 202500 = 60 x ³

⇒ x³= 202500/60

⇒ x³= 3375

⇒ x = 15

• Length ,l = 5x = 5 × 15 = 75

• Breadth, b = 3x = 3 × 15 = 45

• Height, h = 4x = 4 × 15 = 60

Now,

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

⇒ 2 (75 × 45 + 45 × 60 + 60 × 75)

⇒ 2× 10,575

⇒ 21,150