Question

what is the cost of designing the outer area of a carton of the length-10cm, breath-20cm and height-50cm , if the designing charges are rupees 0.75 per square centimetre?​

Answer 1

Correct option is

A

846

We need to calculate the total surface area of the cuboid to solve this question.

Total surface area of a cuboid of length l, breadth b and height h =2(l×b+b×h+l×h)

So, the total surface area of the cuboid =50cm=2(40×30+30×50+40×50)

=2(1200+1500+2000)=9400cm2

Total surface area of 20 boxes =20×9400cm2=188000cm2=18.8m2

Total cost =Rs45×18.8m2=Rs846

Step-by-step explanation:

Answer 2

Given :

• Length of carton = 10 cm
• Breadth of carton = 20 cm
• Height of carton = 50 cm
• Designing charges = Rs. 0.75

To Find :

• Total cost of designing = ?

Solution :

~ ${\underline{\pmb{\textsf{ Formula \; Used \; :- }}}}$

• $\large{\underline{\boxed{\red{\sf{ TSA{\small_{(Cuboid)}} = 2(lb + bh + hl) }}}}}$

Where :

• TSA = Surface Area
• l = Length
• b = Breadth
• h = Height

$\\ \qquad{\rule{150pt}{1pt}}$

~ ${\underline{\pmb{\textsf{ Calculating \; the Surface \; Area \; of \; Carton \; :- }}}}$

${\longmapsto{\qquad{\sf{ TSA{\small_{(Carton)}} = 2(lb + bh + hl) }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA{\small_{(Carton)}} = 2[( 10 \times 20) + (20 \times 50) + (50 \times 10)] }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA{\small_{(Carton)}} = 2(200 + 1000 + 500) }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA{\small_{(Carton)}} = 2 \times (1200 + 500) }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA{\small_{(Carton)}} = 2 \times 1700 }}}} \\ \\ \ {\qquad{\pink{\pmb{\sf{ Surface \; Area \; of \; Carton \; = 3400 \; cm² }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ ${\underline{\pmb{\textsf{ Calculating \; the Cost \; of \; Designing \; :- }}}}$

${\dashrightarrow{\qquad{\sf{ Cost{\small_{(Designing)}} = TSA \times Rate }}}} \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost{\small_{(Designing)}} = 3400 \times 0.75 }}}} \\ \\ \ {\qquad{\green{\pmb{\sf{ Cost \; of \; Designing \; = ₹ \; 2550 }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ ${\underline{\pmb{\textsf{ Therefore \; :- }}}}$

❛❛ Cost of designing the carton is ₹ 2550 . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$