Question

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Assertion (A): For a cube of edge 6 cm, the number giving its total surface area (in cm²) equals the number giving its volume (in cm³). Reason (R): Surface area and volume are measured in the same units.

If each edge of a cube is made three times as long, its total surface area becomes three times as large.

The volume of a cube is 343 cm³. Find its total surface area in cm².