If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

A godown measures 40 m×25 m×10 m. Find the maximum number of wooden crates each measuring 1.5 m×1.25 m×0.5 m that can be stored in the godown.

A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm×12 cm×8 cm, how many bricks would be required?

Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down into a single cube whose diagonal is 12cm. Find the edges of three cubes.

If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the base of a cube are called its leteral faces.