- 10 cm
- 16 cm
- 18 cm
- 12 cm

Option 2 : 16 cm

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हिन्दी वर्णमाला सरल टेस्ट

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10 Questions
10 Marks
10 Mins

**Concept used:**

Volume of cuboidal box = length × breadth × height

**Calculation:**

Suppose the length of the box is 4x, then, its breadth will be 3x and height will be 2x.

Now, Volume = 4x × 3x × 2x = 24x^{3}

⇒ 24x^{3} = 1536

⇒ x^{3} = 64

⇒ x = 4

Length of the box is 4x = 16 cm

∴ The the length of the box is 16 cm.

__Alternate Method__

Let breadth of the box be x.

(4x/3) × x × (4x/6) =1536

⇒ 16x3/18 = 1536

⇒ x3 = 1536 × 18/16

⇒ x3 = 1728

⇒ x = 12

length = 4x/3

⇒ 4 × 12/3

⇒ 16

**∴ The the length of the box is 16 cm.**

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