jacket and gloves for 650 dollars, jacket cost 100 dollars more than the Helmet and cost of helmet and gloves was less than the cost of Jacket, calculate how much each item costed?
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The 1" × 1" × 1" cubes that do not have any pink paint on them will be at the core of the wooden block. This core will be 3" × 6" × 9", and will contain 162 cubes.
Out of a total of 440 cubes, there are 162 cubes without any pink paint on them. Therefore, the remaining 278 cubes will have one, two or three sides with pink paint on them (depending on whether they were at the face, edge or corner of the wooden block).
Food for thought:
What if the wooden block was in the shape of a cube (a" × a" × a") rather than a cuboid? Can you show that the number of cubes with paint on them is then given by a3 − (a − 2)3?
Explanation:
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