# Volume of a Cuboid is 12 Cm3. the Volume (In Cm3) of a Cuboid Whose Sides Are Double of the Above Cuboid is - Mathematics

MCQ

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

• 24

• 48

• 72

• 96

#### Solution

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

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.

Concept: Surface Area of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.4 | Q 13 | Page 36

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