MathDB
determine the value a-b-c+d

Source:

January 24, 2016

Problem Statement

A cube with sides of length 3cm is painted red and then cut into 3 x 3 x 3 = 27 cubes with sides of length 1cm. If a denotes the number of small cubes (of 1cm x 1cm x 1cm) that are not painted at all, b the number painted on one sides, c the number painted on two sides, and d the number painted on three sides, determine the value a-b-c+d.