Find, in simplest radical form, the shortest possible distance in centimetres that could be traced from A to B on the surface of this 6 cm x 10 cm x 24 cm block.
Find, in simplest radical form, the shortest possible distance in centimetres that could be traced from A to B on the surface of this 6 cm x 10 cm x 24 cm block.
AB = 32 cm
The shortest distance from A to B that can be traced on the surface is the sum of longest diagonal of the block's surface (26cm) and the thickness of the block ( 6cm)
The length of diagonal D = sqrt ( 24² + 10² ) = 26 cm
The shortest distance from A to B that can be traced is: 26 + 6 = 32 cm