Question

Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is

Options

• 24

• 48

• 72

• 96

Answer 1

Let,

l → Length of the first cuboid

b  →  Breadth of the first cuboid

h  →  Height of the first cuboid

Volume of the cuboid is 12 cm³

Dimensions of the new cuboid are,

Length  (L) = 2l

Breadth (B) = 2b

Height  (H) = 2h

We are asked to find the volume of the new cuboid

We know that,

Volume of the new cuboid,

V' = LBH 

    = (2l)(2b)(2h)

    = 8(lbh)

    = 8V                                 { Sincr , V = lbh}

    = 8 × 12                            { Since , V = 12 cm ³ } 

    = 96 cm³

Thus volume of the new cuboid is 96 cm³.