Question

A cuboid has a volume of 1,200 cm3. If the length and width of the cuboid are
20 cm and 10 cm respectively, then the height of the cuboid is…cm

Answer 1

Answer :

• Height of cuboid is 6cm

Given :

• Volume of cuboid is 1200cm³
• Length of cuboid = 20cm
• Breadth (width) of cuboid = 10cm

To find :

• Height of cuboid

Solution :

• Let the height be h

As we know that,

• Volume of cuboid = lbh

Where, l is length 20cm , b is breadth 10cm and h is height

➙ Volume of cuboid = lbh

➙ 1200 = 20 × 10 × h

➙ 1200 = 200h

➙ h = 1200/200

➙ h = 6cm

Hence , Height of cuboid is 6cm

More Explanation :

• Cuboid has 6 faces
• Cuboid has 12 edges
• Cuboid has 8 vertices
• Total surface area of cuboid = 2(lb + bh + lh)
• Lateral surface area of cuboid = 2h(l + b)
• Volume of cuboid = lbh
• where , l is length, b is breadth and h is height

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

Height of cuboid is 6cm

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

Volume of cuboid is 1200cm³

Length of cuboid = 20cm

Breadth (width) of cuboid = 10cm

$\sf \bf {\boxed {\mathbb {To Find}}}$

Height of cuboid

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

Let the height be h

As we know that,

Volume of cuboid = lbh

Where, l is length 20cm , b is breadth 10cm and h is height

➙ Volume of cuboid = lbh

➙ 1200 = 20 × 10 × h

➙ 1200 = 200h

➙ h = 1200/200

➙ h = 6cm

Hence , Height of cuboid is 6cm

More Explanation :

Cuboid has 6 faces

Cuboid has 12 edges

Cuboid has 8 vertices

Total surface area of cuboid = 2(lb + bh + lh)

Lateral surface area of cuboid = 2h(l + b)

Volume of cuboid = lbh

where , l is length, b is breadth and h is height

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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