Math, asked by riteshdhamgaye8, 22 hours ago

a Matchbox is 4 cm long 2.5 CM broad and 1.5 CM in height it outer side are to be covered exactly with craft paper how much paper will be required to do so​

Answers

Answered by george0096
11

Answer:

Amount of paper required to cover the outer side of the matchbox is 39.5 cm².

Given:

  • Length of the matchbox = 4 cm
  • Breadth of the matchbox = 2.5 cm
  • Height of the matchbox = 1.5 cm

To Find:

  • How much craft paper will be needed to cover the outer side of the matchbox??

Process:

To find the amount of craft paper needed to cover the outer side of the matchbox we will first need to find the total surface area of the matchbox using the formula:

  • Total surface area = 2(lb + bh + lh) sq. units

Where,

l = Length

b = Breadth

H = Height

As we know area of outer side of the matchbox = Total surface area of the matchbox.

Hence, amount of paper needed = Total surface area of the matchbox

Solution:

∵ Amount of paper needed = Total surface area of the matchbox

∴ Amount of paper needed = 2(lb + bh + lh) sq. units

Substituting the values,

2(4 × 2.5 + 2.5 × 1.5 × 4 × 1.5)

Multiplying the numbers,

2(10 + 3.75 + 6)

Opening the brackets,

2 × 19.75

Multiplying 2 by 19.75,

39.5

Hence, amount of paper required to cover the outer side of the matchbox is 39.5 cm².

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