A cuboid tin open at the top has dimensions 20cm×16cm×14cm.what is the total area of a sheet of metal required to make 10 such tins.
Answers
Answer:
Step-by-step explanation:
As we have to Find the Metal Sheet Required to make 10 Cuboidal Tin Box. For that we will find TSA of 1 Cuboidal Tin Box.
Given Dimensions Are :
Length = 20 cm
Breadth = 16 cm
Height = 14 cm
• Total Surface Area of Cuboidal Box :
⇒ TSA = 2(lb + bh + hl)
⇒ TSA = 2(20 × 16 + 16 × 14 + 14 × 20)
⇒ TSA = 2(320 + 224 + 280)
⇒ TSA = 2 × 824
⇒ TSA = 1648 cm²
• Total Area of Metal Sheet Required :
⇒ Total Sheet Required = TSA × Boxes
⇒ Total Sheet Required = 1648 cm² × 10
⇒ Total Sheet Required = 16480 cm²
we have to change it into m² accrⁿ Question
⇝ 16480 cm²
⇝ 16480 /100 × 100 m²
⇝ 1648 /1000 m²
⇝ 1.648 m²
∴ 1.648 m² Metal Sheet Required for 10 Box
Answer: 1.328m²
Step-by-step explanation: Area of the cuboid tin= 2(lb+bh+hl)-l*b
=2(320cm²+224²+280²) - 320cm²
= 2*824cm² - 320cm²
= 1648cm² - 320cm²
= 1328cm²(area of 1 tin)
1328cm²*10
= 13280cm²
10000cm² = 1m²
= 1.328m²