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RRB RPF RPSF SI and CONS Model Papers 8 with solutions
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© examsnet.com
Question : 49
Total: 120
The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88cm
2
. The volume of the cuboid is :
120 cm
3
64 cm
3
48 cm
3
24 cm
3
Validate
Solution:
(3) Surface area of cuboid
= 2 × (L × B + B × H + H × L)
= 2 (3x × 2x + 2x × x + x × 3x)
= 2 (6x
2
+ 2x
2
+ 3x
2
)
= 2 (11x)
2
88 = 22x
2
x
=
√
4
=
2
∴ L = 6 cm, B = 4 cm, H = 2 cm
∴ Volume of cuboid = L × b × H = 6 × 4 × 2 cm
3
= 48 cm
3
© examsnet.com
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