Math, asked by gnk04, 10 days ago

A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm× 14 cm. What is the total area of metal sheet required to make such a box? Also, find it's volume.​

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Answers

Answered by xXSugarBaby08Xx
2

Hey mate! here you go your answer...

---> The total area of metal sheet required to make 10 such boxes is 13280 sq.cm.

Step-by-step explanation:

Length of box = 20 cm

Breadth of box = 16 cm

Height of box = 14 cm

Lateral surface area of box and one base = 2(l+b)h +lb

                                                                     = 2(20+16)(14)+(20 \times 16)2(20+16)(14)+(20×16)

                                                                     =1328 cm^21328cm2

Metal sheet required for 1 box = 1328 sq.cm.

Metal sheet required for 10 boxes = 1328 \times 10 = 13280 cm^21328×10=13280cm2

Hence the total area of metal sheet required to make 10 such boxes is 13280 sq.cm.

Explanation:

Hope it's helpful for you

Answered by nkrishna391
3

Answer:

total surface area of cuboidal tin box = 2(lb+bh+hl)-lb

(opened at the top)

=2(20x16+16x14+14x20)- 20x16

=2(320+224+280)- 320

= 2x824-320

= 1648-320

= 1328 cm2

The total area of metal sheet required to make 10 such boxes is 13280 sq.cm. Metal sheet required for 1 box = 1328 sq.cm.

volume of cuboidal tin box= lxbxh

= 20x16x14

= 4480 cm3

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