29. The external length, breadth and height
of a closed rectangular wooden box are
18 cm, 10 cm and 6 cm respectively and
thickness of wood is
cm. When the box
2
is empty, it weights 15 kg and when filled
with sand it weighs 100 kg. Find the
weight of the cubic cm of wood and cubic
cm of sand respectively.
kg and - kg
9
(A) kg and
(B)
(C) is kg and ke
kg
17
and kg
63
17
(D)
kg and
kg
21
63
(E) None of these
Answers
Step-by-step explanation: Dimension of a closed rectangular wooden box are 18cm,10cm and 6cm, respectively.
The thickness of wood is
2
1
cm
∴ Volume of rectangular wooden block =18×10×6=1080cm
3
And, volume of hollow space in rectangular wooden block =17×9×5=765cm
3
∴ Volume of rectangular wood =(1080−765)cm
3
=365cm
3
Now, weight of empty box =15kg
∴ Weight of a cubic cm of wood =
365
15
=
21
1
kg
Weight of box filled with sand =100kg
Weight of sand =(100−15)kg=85kg
∴ Weight of a cubic cm of sand =
765
85
kg=
9
1
kg
Answer:
Step-by-step explanation:
Dimension of a closed rectangular wooden box are 18cm,10cm and 6cm, respectively.
The thickness of wood is
2
1
cm
∴ Volume of rectangular wooden block =18×10×6=1080cm
3
And, volume of hollow space in rectangular wooden block =17×9×5=765cm
3
∴ Volume of rectangular wood =(1080−765)cm
3
=365cm
3
Now, weight of empty box =15kg
∴ Weight of a cubic cm of wood =
365
15
=
21
1
kg
Weight of box filled with sand =100kg
Weight of sand =(100−15)kg=85kg
∴ Weight of a cubic cm of sand =
765
85
kg=
9
1
kg