A block measure 22 cm by 11 cm by 7 cm. How many of these blocks will be needed to
build a wall 5 1/2m long, 22 cm thick and 3 1/2
m high?

2,500 blocks

Step-by-step explanation:

Hi, to answer this question we have to calculate both volumes:

Volume of a rectangular prism= length x width x height

Volume of the block = 22 x 11 x 7 = 1,694 cm3

Before calculating the volume of the wall, we have to convert the measures in m to cm:

Since:

1m = 100 cm

5 1/2 m x 100 = 550 cm (length)

3 1/2 m x 100 =350 cm (height)

Volume of the wall = 550 x 22 x 350= 4,235,000 cm3

Finally:

Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.

Feel free to ask for more if needed or if you did not understand something.  

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