Question

the ratio of the sides of the cuboid is 3:4:2. the volume of the cuboid is 12288 cm cube find its surface area.​

Answer 1

Answer:

Ratio of sides=3:4:2

Let length be 3x

Let breadth be 4x

Let height be 2x

Volume=12288 cm3

Volume=l×b×h

12288 = 3x×2x×4x

12288 = 24x cube

$12288 \div 24 = {x}^{3}$

$512 = {x}^{3}$

${8}^{3} = {x}^{3}$

x=8

Length=24 cm

Breadth=32 cm

Height=16 cm

T.S.A= 2(lh+bh+bl)

= 2(24×16 + 32×16 + 24×32)

=2(384 + 512 +768)

=2(1664)

$= 3328cm {}^{2}$

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