Question

a wooden box with lid is made of 2.5cm thick wood. inner length, breadth and height of box are 1 m, 65 cm and 55 cm . find the total expenditure out surface area at the rate of rupees 15 per square meter.

Answer 1

Answer:Rupees 53.55

Step-by-step explanation:

Answer 2

Answer:

$\red { Total \: expenditure } \green { = Rs \:53.55 }$

Step-by-step explanation:

$\underline {\pink { Inner\:Dimensions \: of \: a \:wooden \:box: }}$

$length (l) = 1\: m = 100\:cm , \\breadth (b) = 65\:cm \\Height (h) = 55\:cm$

$Thickness \: of \: the \: box (w) = 2.5 \:cm$

$\underline { \gray { Outer \: dimensions \:of \:the \:box :}}$

$L = l + 2w = 100\:cm + 5 \:cm = 105 \:cm$

$B = b + 2w = 65\:cm + 2\times 2.5 = 65+5 = 70\:cm$

$H = h + 2w = 55 + 5 = 60\:cm$

$\blue {Total \: surface \:area \:of \:the \:box }$

$= 2(LB+BH+HL) \\= 2(105\times + 70\times 60 + 60\times 105 )\\= 2(7350+4200+6300)\\= 2\times 17850 \\= 35700\:cm^{2} \\= 3.57 \:m^{2}$

$Cost \:of \: 1\:m^{2} \:surface \:area =Rs\: 15\\(Given)$

$Cost \:of \: total \:surface \:Area = 15\times 3.75\\= Rs\:53.55$

Therefore.,

$\red { Total \: expenditure }\green {= Rs \:53.55}$

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