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IMSO 2010 Mathematics - International Exploration Question 3

IMSO Maths · IMSO 2010 Mathematics - International Exploration

Question 3

A three-dimensional shape is formed from a number of cubes.

Questions:

(a) What is the maximum number of cubes that may be used to form a shape so that the front view and the side view of the shape follow the figures below?

Question illustration

(b) What is the minimum number of cubes that may be used to form a shape so that the front view and the side view of the shape follow the figures below?

Question illustration

(c) What is the minimum number of cubes that may be used to form a shape so that the front view and the side view of the shape follow the figures below?

Question illustration