Question

volume of cuboid is 544 cm . find the height of the cuboid if it's length and breadth are 10 cm and 85 mm respectively.​

Answer 1

Correct Question

• The volume of cuboid is 544 cm³ Find the height of the cuboid if it's length and breadth are 10 cm and 85 mm respectively.

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Given

• Volume of Cuboid = 544 cm³.
• Length of Cuboid = 10 cm
• Breadth of Cuboid = 85mm = 8.5 cm

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To find

• Height of the Cuboid.

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Solution

• Let the height of the Cuboid be h.
• We have volume of Cuboid given in the question.

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⠀⠀⠀❍ We know that

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Volume_{(Cuboid)} = l \times b \times h{\bigstar}}}}$

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Here

• l = length
• b = breadth
• h = height

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★ Finding height

$\tt:\implies\: \: \: \: \: \: \: \: {Volume = 544}$

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$\tt:\implies\: \: \: \: \: \: \: \: {l \times b \times h = 544}$

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$\tt:\implies\: \: \: \: \: \: \: \: {10 \times 8.5 \times h = 544}$

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$\tt:\implies\: \: \: \: \: \: \: \: {85 \times h = 544}$

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$\tt:\implies\: \: \: \: \: \: \: \: {h = \dfrac{544}{85}}$

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$\bf:\implies\: \: \: \: \: \: \: \: {h = 6.4}$

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Hence,

• Height of Cuboid = 6.4 cm.

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⠀⠀⠀⠀Formulas related to Cuboid

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» Total surface area of Cuboid = 2(lb + bh + hl)

→ Unit = square unit

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» Lateral surface of Cuboid = 2(l + b) × h

→ Unit = square unit

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» Volume of Cuboid = l × b × h

→ Unit = cube unit

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Answer 2

Correct Question:

• The volume of cuboid is 544 cm³ Find the height of the cuboid if it's length and breadth are 10 cm and 85 mm respectively.

⠀

Given:

• Volume of Cuboid = 544 cm³.
• Length of Cuboid = 10 cm
• Breadth of Cuboid = 85mm = 8.5 cm

⠀

To find:

• Height of the Cuboid.

⠀

Solution:

As we know,

★ Volume of cuboid :- l × b × h

According to the question;

→ Volume = 544

→ l × b × h = 544

→ 10 × 8.5 × h = 544

→ 85 × h = 544

→ h = 544/85

→ h = 6.4

Hence,

• Height of cuboid = 6.4 cm.