Question

The dimensions of a tin are 60 cm x 35 cm x 24 cm. Find the area of the tin sheet required for making 30
such tins. If 1 sq m of tin sheet costs Rs 25, find the cost of tin sheet required for making 30 tins.​

Answer 1

$\huge\underline\blue{\sf Given:}$

dimensions of a tin are 60 cm x 35 cm x 24 cm

$\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}$

TSA of cuboid = 2(lb+bh+hl)

TSA of cuboid = 2(60*35+35*24+24*60)

TSA of cuboid = 2(2100+840+1440)

TSA of cuboid = 2(4380)

TSA of cuboid = 8760 cm²

TSA of 30 such tins = 8760 * 30 = 262800 cm²

now we know that ,

10000cm² = 1m²

so,,

TSA of 30 such tins = 26.28m²

cost of 30 such tins sheet = 26.28 * 25 = RS. 657 (Ans)

$\rule{200}{4}$

Answer 2

Dimensions are:- 60 cm, 35 cm and 24 cm.

Here -

• length = 60 cm
• breadth = 35 cm
• height = 24 cm

As tin is in cuboid shape.

So, the total surface area of tin = Surface area of a cuboid.

$\sf{Total\:surface\:area\:of\:tin\:=\:2(lb\:+\:bh\:+\:hl)}$

=> $\sf{2[60(35)\:+\:35(24)\:+\:24(60)]}$

=> $\sf{2(2100\:+\:840\:+\:1440)}$

=> $\sf{2(4380)}$

=> $\sf{8760}$ cm²

$\sf{\underline{For\:30\:tins}}$

=> $\sf{8760\:\times\:30}$

=> $\sf{262800}$ cm²

1 m² tin costs Rs. 25.

So, 262800 cm² tin costs =?

But wait! we have the cost of tin in m². So, first, convert cm² into m².

To convert cm into m divide by 100. And to convert cm² into m².

Divide by 10000.

=> $\sf{\dfrac{262800}{10000}}$

=> $\sf{26.28}$ m²

$\therefore$ Cost of 26.28 m² of tin = $\sf{25 \:\times\: 26.28}$

=> $\sf{Rs.\:657}$

•°• Rs. 657 is the cost of tin required for making 30 tins.