Volume, SM-Bank 096

Guy builds a brick structure that is pictured below.

The structure is 7 bricks high, 7 bricks wide and 6 bricks deep.

The structure is solid brick but has a hole that goes from one side to the other which is 3 bricks high and two bricks wide, as shown in the diagram.

How many bricks are in the stack? (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

\(258\ \text{bricks}\)

Show Worked Solution

\(\text{Bricks in the stack if no hole}\)

\(=7\times 7\times 6\)

\(=294\)

\(\text{Bricks removed to make hole}\)

\(=3\times 2\times 6\)

\(=36\)

\(\therefore\ \text{Bricks in stack}\)	\(=294-36\)
	\(=258\)