Q. 114.0( 27 Votes )

# If the ratio of l

Answer :

Let the ratio be in x.

∴ length = 3x

breadth = 2x

and height = x

Given, volume = 384 cc

⇒ 3x × 2x × x = 384

⇒ 6x^{3} = 384

⇒ x^{3} = = 64

⇒ x = cm.

⇒ x = 4 cm

So, length = 3×4 = 12 cm

breadth = 2×4 = 8 cm

height = 4 cm

Therefore, Surface area of cuboidal box = 2(length× breadth + breadth×height + height×length)

surface area = 2(12×8 + 8×4 + 4×12)

= 2(96 + 32 + 48)

= 2×176

= 352 sq. cm.

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