A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in Fig. 13.25. If the edge of each cube is 3 cm, find the volume of the structure built by the child.

A child playing with building blocks, which are of the shape of the cubes, has build a structure. If the edge of each cube is 3cm, find the volume of the structure built by the child.

Three cubes , each of edge 8 cm , are joined as shown alongside . Find the total surface area and the volume of the cuboid.

The length of the diagonal of a cube is 8 sqrt3 cm . Find its edge (ii) total surface (iii) volume

A metal has bcc structure and the edge length of its unit cell is 3.04overset(@)(A) . The volume of the unit cell in cm^(3) will be

A metal (atomic mass = 50) has a body centred cubic crystal structure. The density of the metal is 5.96 g cm^(-3) . Find the volume of this unit cell.

A long, straight wire, carrying a current 200A, runs through a cubical wooden box, entering and leaving through holes in the centre of opposite faces (as shown in Fig). The length of each side of the box is 20 cm. Consider an element dl,0.100 cm long of the wire at the centre of the box. Compute the magnitude dB of the magnetic field produced by this element at the point a, b,c,d and e as shown fig. Points a,c, and dare at the centres of the faces of the cube, point b is at the midpoint of one edge, and point e is at a corner. Copy the figure and show the direction and relative magnitudes of field vectors.

A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimension of the cuboid are 10 cm, 5 cm and 4 cm.The radius of the each of the conical depression is 0.5 cm and depth is 2.1 cm . The edge of the conical depression is 3 cm. Find the volume of the wood in the entire stand.

A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in Figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take pi=3. 14 )

Find the surface area and the volume of a cube of an edge : 3. 5 cm

A child has a block in the shape of a cube with one letter written on each face as shown below: (FIGURE) The cube is thrown once. What is the probability of getting (i) A ? (ii) D ?