A cube of side 5 cm is cut into 1 cm cubes. The percentage increase
in volume after such cutting is __________.
A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic
cm cubes, then number of such cubes that will have exactly two of
their faces painted is __________.
Ramesh has three containers.
(a) Cylindrical container A having radius r and height h,
(b) Cylindrical container B having radius 2r and height 1/2 h, and
(c) Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their
volumes is
(a) A, B, C
(b) B, C, A
(c) C, A, B
(d) cannot be arranged
The surface areas of the six faces of a rectangular solid are 16, 16,
32, 32, 72 and 72 square centimetres. The volume of the solid, in
cubic centimetres, is
(a) 192 (b) 384 (c) 480 (d) 259
Two cubes have volumes in the ratio 1:64. The ratio of the area of a
face of first cube to that of the other is
(a) 1:4 (b) 1:8 (c) 1:16 (d) 1:32
The ratio of radii of two cylinders is 1: 2 and heights are in the ratio
2:3. The ratio of their volumes is
(a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm
respectively are melted to form a single cube. The edge of the new
cube is
(a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into
a cube. The side of the cube is
(a) 6 cm (b) 8 cm (c) 12 cm (d) 24 cm
How many small cubes with edge of 20 cm each can be just
accommodated in a cubical box of 2 m edge?
(a) 10 (b) 100 (c) 1000 (d) 10000