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Saturday, February 14, 2015

Rectangular Parallelepiped Problem, 16

Category: Solid Geometry

"Published in Newark, California, USA"

How many bricks each 8 in. by 2 ¾ in. by 2 in. will be required to build a wall 22 ft. by 3 ft. by 2 ft. (not allowing for mortar)?

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday life

The volume of a block of brick is





The volume of a wall made from bricks is






Therefore, the number of bricks used to build a wall is