## An open box of length =1.5m,breadth=1m,height=1m is to be made for use on a trolley for carrying garden waste. how much metal sheet will be

Question

An open box of length =1.5m,breadth=1m,height=1m is to be made for use on a trolley for carrying garden waste. how much metal sheet will be required to make this box? the insideand the outside surface of the box is to be painted with rust proof paint. at a rate of 150rupees per sqm, how much will it cost to paint the box?

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2021-10-04T14:24:52+00:00
2021-10-04T14:24:52+00:00 1 Answer
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## Answers ( )

⇒length = 1.5 m

⇒breadth = 1 m

⇒height = 1 m

Whenever we face quantity use Volume

so Metal sheet requirement = volume of box

i.e L x B x H =

1.5 m³Now we have to paint the box inside and outside both so here comes area of the box inside as well as outside = 2(LB+BH+HL) – LB

AS we know that TSA of cuboid = 2(LB+BH+HL)

but here one side is open that is top rectangle so it comes 2(LB+BH+HL) – LB

L = 1.5

B = 1

H = 1

so inside area of open box = 2(1.5+1+1.5) -1.5 = 8-1.5 = 6.5 m²

outside area of open box is also 6.5 m²

so total area of box to be painted = 13 m²

Now rate of painting = Rs 150 per m²

so cost od painting of 13 m² would amount us 13*150 =

Rs 1950/-