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
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.
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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