SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 52 of 100

Marks: +1, -0

If the areas of three adjacent faces of a rectangular box which meet in a corner are 12 cm

^{2}

, 15 cm

^{2}

and 20 cm

^{2}

respectively, then the volume of the box is

3600 cm $^{3}$
300 cm $^{3}$
60 cm $^{3}$
180 cm $^{3}$

Validate

Solution:

(3) Let the length of rectangular box be l cm.
Width = b cm.
Height = h cm.
According to the question,
lb = 12 sq. cm.
bh = 15 sq. cm.
hl = 20 sq. cm.
On multiplying,

I^{2}× b^{2} × h^{2}=12 × 15× 20

∴ Volume of box

=√{12×15 ×20}

=√{3600}=60 {cu} . {cm}

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