Question

The breadth of a room is twice its height and half of its length. The volume of the room is 512m. Find the length of the room.​

Answer 1

Given :-

• The breadth of a room is twice its height and half of its length.
• The volume of the room is 512m.

To Find :-

• Length of the room

Solution :-

Let,

• Height of room = x m
• Breadth = 2x
• Length = 4x

Volume of Room = 512 m

⟹ L × B × H = 512 m

⟹ x × 2x × 4x = 512 m

⟹ 8x³ = 512 m

⟹ x³ = 64m

⟹ x = 4 m

Hence,

• Length of room = 4x
• Length of room = 4 × 4 = 16 m

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Answer 2

★ Given :-

• The breadth of a room is twice its height and half of its length .
• The volume of the room is 512 m .

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★ To Find :-

• The Length of the room = ?

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★ Solution :-

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∓ Here, it given that breadth of a room is twice its height and half of its length & the volume of the room is 512 m . We have to find Length of the room .

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• Let the Height of Room be x
• And the Breadth of Room be 2x
• And the Length of Room be 4x

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∓ Now, let's solve step by step -----

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$\dashrightarrow \: \sf{L \times B \times H = V} \\ \\ \dashrightarrow \: \sf{x \: \times \: 2x \times \: 4x = 512} \\ \\ \dashrightarrow \: \sf{ {8 x}^{3} = 512} \\ \\ \dashrightarrow \: \sf{ {x}^{3 } = \frac{512}{8} } \\ \\ \dashrightarrow \: \sf{ {x}^{3} = 64 } \\ \\ \dashrightarrow \: \sf{x = 4}$

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★ Hence :-

• Length of the room = 4x

⠀⠀➸ 4x = 4 × 4

⠀⠀➸ 16 cm

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Hope It'z Help You .... !!