18. In a festive season Deepa bought a cylindrical jar and a cubical jar to fill her home made
juice. Cylindrical jar is of 14 high and has a diameter of 11 .
i. Volume of juice that can be filled in cylindrical jar
a) 1331 %
b) 242 %
c) 337 %
d) 432 %
ii. If the volume of cylindrical jar is equal to the volume of cubical jar then the length of
the edge of the box is
a) 14 b) &&
c) 11 d) 15
iii. The cubical jar was packed with a wrapping paper. The sheet required to pack the
box ignoring the folding at the edges is
a) 726
b) 484
c) 605
d) 700
iv. After filling the cylindrical jar with juice same more juice was left for which she
purchased a new cylindrical jar whose volume was one eleventh the volume of
previous jar. The volume of the new jar is
a) 242 %
b) 121 %
c) 11 %
d) 337 %
v. If two cubes of edge ‘a’ units are joined end to end the surface area of the resulting
cuboid is
a) 12 '
b) 10 '
` c) 8 '
d) 9 '
Answers
Answer:
2 ka b
2 ka a
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Answer:
(i) option(a) 1331 cube.units
(ii) option(c) 11 units
(iii) option (a) 726 sq.units
(iv) option (b) 121 cubic units
(v) option(b) 10a² units
Step-by-step explanation:
given, height of cylindrical jar = 14 units,
diameter = 11 units, radius = 5.5 units
(i) volume of cylinder = πr²h
volume of cylindrical jar = × 5.5² ×14 = 1331 cube.units
answer option(a) 1331 cube.units
(ii) volume of cylindrical jar = volume of cubical jar
⇒ πr²h = a³, a is the side of the cube
⇒1331 = a³
⇒ a = ∛1331 = 11 units
side of the cubical box = 11 units
answer option(c) 11 units
(iii) TSA of cube = 6a²
amount of sheet required to pack the box = TSA of cube = 6×11²
= 726 sq.units
answer option (a) 726 sq.units
(iv) volume of new jar = volume of previous jar
volume of new jar = ×1331 = 121 cubic units
answer option (b) 121 cubic units
(v)two cubes of side a are joined together
the resulting dimensions are length = 2a, breadth = a, height = a
TSA of cuboid = 2(lb+bh+lh) = 2 [(2a×a) +(a×a) + (a×2a)]
= 2[2a² +a² +2a²] = 2[5a²] = 10a² units
answer option(b) 10a² units