A rectangular garden 30m by 20m consists of a lawn 28m by 18m surrounded by a path. The path is to be made of concrete to a depth of 8cm. Cal the vol of cement required in m3.
The cement is delivered in bags each holding 1cubic metre. Cal the cost if the cement costs #600 per bag and the labour charges are #2000. The company states that the cost will be approximately #70 per square metre. Is this correct?

1) Given that a rectangular garden 30m by 20m consists of a lawn 28m by 18m surrounded by a path, and the path is to be made of concrete to a depth of 8cm, to calculate the volume of cement required in m3 the following calculation must be performed :

8cm = 0.08m
Path area x 0.08 = Volume
((30 x 20) - (28 x 18)) x 0.08 = X
(600 - 504) x 0.8 = X
96 x 0.08 = X
7.68 = X

Therefore, the required volume of cement is 7.68 m3.

2) Given that the cement is delivered in bags each holding 1 cubic meter, to calculate the cost if the cement costs $ 600 per bag and the labor charges are $ 2000 and determine, if the company states that the cost will be approximately $ 70 per square meter, if this statement is correct, the following calculations should be performed:

7.68 m3 = 8 bags
(8 x 600) + 2000 = X
6800 = X

Therefore, the costs will be $ 6,800.

6800/96 = 70.833

Thus, the company's statement about approximate costs is correct.

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