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.

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

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.

Find the edge of a cube whose surface area is 432 m².

A cuboid has total surface area of 372 cm² and its lateral surface area is 180 cm², find the area of its base.