# A Closed Box is Cuboid in Shape with Length = 40 Cm, Breadth = 30 Cm and Height = 50 Cm. It is Made of a Thin Metal Sheet. Find the Cost of Metal Sheet Required to Make 20 Such Boxes - Mathematics

Sum

A closed box is cuboid in shape with length = 40 cm, breadth = 30 cm and height = 50 cm. It is made of a thin metal sheet. Find the cost of metal sheet required to make 20 such boxes, if 1 m2 of metal sheet costs Rs. 45.

#### Solution

Length of closed box (l) = 40 cm

and height (h) = 50 cm

Total surface area = 2 (lb + bh + hl)

= 2 (40 x 30 + 30 x 50 + 50 x 40) cm2

= 2 (1200 + 1500 + 2000) cm2

= 2 x 4700 = 9400 cm2

Surface area of sheet used for 20 such boxes = 9400 x 20 = 188000 cm2

Cost of 1 m2 sheet = Rs. 45

Total cost = (18000 xx 45)/(100 xx 100 xx 100)

= Rs.846

Concept: Surface Area of a Cuboid
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (A) | Q 11 | Page 238