RRB RPF RPSF SI and CONS Model Papers 8 with solutions

Question : 49 of 120

Marks: +1, -0

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 :

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}

=√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}

Go to Question:

Prev Question

Next Question