I am currently building a new rectangular garden which is by

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

I am currently building a new rectangular garden which is 8.6 m8.6\text{ m} by 2.4 m2.4\text{ m}, and 15 cm15\text{ cm} deep. I have decided to purchase soil from the local garden supplier and will load it into my trailer, which measures 2.2 m×1.8 m×60 cm2.2\text{ m}\times1.8\text{ m}\times60\text{ cm}. I will fill the trailer to within 20 cm20\text{ cm} from the top. (a) How many trailer loads of soil will I need? (b) Each load of soil costs 87.3087.30. What will the total cost of the soil be? (c) I decide to put bark on top of the soil in the garden. Each load covers 11 m211\text{ m}^2 of garden bed. (i) How many loads of bark will I need? (ii) Each load of bark costs 47.9547.95. What is the total cost of the bark? (d) Calculate the total cost of establishing the garden.

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