Math, asked by melinachettiar, 3 months ago

A closed box 20 cm long .16 cm broad and 12 cm high is to be made from a sheet of metal . How much metal sheet will be required tell me the answer​

Answers

Answered by varadad25
10

Answer:

The metal sheet required for making the box will be 1504 cm².

Step-by-step-explanation:

We have given that,

For a closed box,

  • Length ( L ) = 20 cm
  • Breadth ( B ) = 16 cm
  • Height ( H ) = 12 cm

We have to find the metal sheet required for making the box.

Now, we know that,

Total surface area of cuboid = 2 ( Length * Breadth + Breadth * Height + Length * Height )

⇒ TSA of box = 2 ( LB + BH + LH )

⇒ TSA of box = 2 ( 20 * 16 + 16 * 12 + 20 * 12 )

⇒ TSA of box = 2 ( 320 + 192 + 240 )

⇒ TSA of box = 2 ( 512 + 240 )

⇒ TSA of box = 2 * 752

TSA of box = 1504 cm²

∴ The metal sheet required for making the box will be 1504 cm².

Answered by Anonymous
18

Given :

  • A closed box 20 cm long .16 cm broad and 12 cm high is to be made from a sheet of metal

To find :

  • How much metal sheet will be required for making the box.

Solution :

  • In the question Length, Breadth and height of The closed is given.

  • We have to find the Metal sheet Required for making the box we will find the total surface area of the closed box.

Length = 20cm

Breadth = 16cm

Height = 12cm

Total surface area = 2 (lb + bh + hl)

→ 2 (20 + 16) (16 + 12) (20 × 12)

→ 2 (320 + 192 + 240)

→ 2 × 752

→ 1504 cm²

∴ 1504 cm² metal sheet is required for making the box.

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