Question

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The surface area of a cuboid is 3328 m2. If its dimensions are in the ratio 4:3:2. Find the volume of cuboid.


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Answer 1

Let the sides be 4x,3x and 2x

SA=2 (lb+bh+lh)

3328=2 (4x×3x+3x×2x+4x×2x)

1664=12x2+6x2+8x2

1664=26x2

x2=64

x=8m

4x=4×8=32m

3x=3×8=24m

2x=2×8=16m

Volume =l×b×h

=32×24×16

=12288mcube

Answer 2

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$\huge\mathfrak{Answer :}$

$\huge\mathfrak\green{Solution :}$

LET THE VOLUME OF CUBOID = X

Given :- Volume is 4:3:2

i.e - 4x , 3x ,2x be the length

breadth and the height

total surface area of cuboid

2( lb + bh+ LH)

2[ ( 4x × 3x +3x ×2x +2x ×4x) = 3328

2(26x ) =3328

52x = 3328 , x= 64

volume of cuboid = lbh

i.e vol. 4 ×64 ×3×64×2×64

6291456 cm³