Question

*How much does it cost to paint a cuboidal wooden box of 2 m length, 1 m width and 1 m height at the rate of Rs 40 per sqm.?*​

Answer 1

Answer :

• Rs.400 is the cost to paint a cuboidal wooden box

Given :

• Length = 2m
• Breadth = 1m
• Height = 1m

To find :

• How much does it cost to paint a cuboidal wooden box

Solution :

As we know that,

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

where,

• l is length
• b is breadth
• h is height

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

》2((2)(1) + (1)(1) + (2)(1)

》2(2 + 1 + 2)

》2(5)

》10m²

Hence , Total surface area of cuboid is 10m²

Now we have to find the how much does it cost to paint a cuboidal wooden box :

Given that

• Rate = 40 per square
• TSA = 10m²

》40 × 10

》400 Rs

Hence, Rs.400 is the cost to paint a cuboidal wooden box

Answer 2

Given:-

• A cuboidal wooden box of 2 m length, 1 m width and 1 m height at the rate of Rs.40 per sq m.

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To find:-

• Cost to paint a cuboidal wooden box.

⠀

Solution:-

Here,

• Length (l) = 2 m
• Width (b) = 1 m
• Height (h) = 1 m

⠀

According to the question,

⠀

Firstly,

• Finding the Total surface area of cuboid.

⠀

⇢ T.S.A = 2(lb + bh + lh)

⇢ T.S.A = 2((2)(1) + (1)(1) + (2)(1))

⇢ T.S.A = 2(2 + 1 + 2)

⇢ T.S.A = 2(5)

⇢ T.S.A = 10 m²

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•°• Total surface area of cuboid is 10 m².

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Now,

• Finding the cost to paint a cuboidal wooden box.

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⇢ Rate × T.S.A

⇢ 40 × 10

⇢ Rs.400

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Hence,

• The cost to paint a wooden box is Rs.400.