Question

A CUBOID HAS A TOTAL SURFACE AREA OF 96CM SQUARE.THE SUM OF IT'S LENGTH, BREADTH AND HEIGHT IS 48 CM.FIND HEIGHT IN CM.​

Answer 1

Answer:

Hey mate plzz refer to the attachment

Answer 2

The height is 4 cm

Step-by-step explanation:

completer question : A CUBOID HAS A TOTAL SURFACE AREA OF 96 CM SQUARE.THE SUM OF SQUARE OF  IT'S LENGTH, BREADTH AND HEIGHT IS 48 CM.FIND HEIGHT IN CM.​

solution :

let length = l

breadth = b

height = h

now , total surface area = 2(lb+bh+hl) = 96

and

l² +b² +h² = 48

multiply by 2

2l² +2b² +2h² = 96..(2)

now , subtract 2 from 1

2l² +2b² +2h² - (2(lb+bh+hl)) = 96-96 =0

l² +b² - 2lb + b² +h²-2bh + h²+l²-2lh =0

(l-b)² + (b-h)² +(h-l)² = 0

(l-b)²  = 0 (b-h)² = 0 , (h-l)²= 0

i.e

l=b , b= h , l = h

thus  l=b=h

l² +b² +h² = 48

h² +h²+h² = 48

3h² = 48

h² = 16

h = 4 cm

hence , The height is 4 cm

#Learn more :

The total surface area of a box of length 8cm and breadth 6cm is 208sq cm.Find the height of the box

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