Mo manages tract repairs. He needs to order 60 tonnes of stones for a track repair. The stones are sold in full cuboid containers a full container of stones is 80 cm by 80 cm by 70 cm. Mo knows that 1m3 of the stones weight 1.8 tones. Each container of stone costs £45.16. Mo wants to order the smallest number of containers of stone as possible. Work out the total cost of the containers of stone Mo needs to order.

Question

Mathematics

Nikolas Bray

9 November, 17:24

Mo manages tract repairs. He needs to order 60 tonnes of stones for a track repair. The stones are sold in full cuboid containers a full container of stones is 80 cm by 80 cm by 70 cm. Mo knows that 1m3 of the stones weight 1.8 tones. Each container of stone costs £45.16. Mo wants to order the smallest number of containers of stone as possible. Work out the total cost of the containers of stone Mo needs to order.

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Answers (1)

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Jonah Bean · Answer 1

Number of containers = 74.404 = 75 Container (Approx)

Total cost of the containers = £3,387

Step-by-step explanation:

Given:

Required stone = 60 tonnes

1 m³ of the stones = 1.8 tonnes

Size of container of stones = 80 cm by 80 cm by 70 cm

Each container costs = £45.16

Computation:

Volume of each container = 80 cm * 80 cm * 70 cm

Volume of each container = 448,000 Cm³ = 0.448 m³

Weight of each container = 0.448 m³ * 1.8 tonnes

Weight of each container = 0.8064 tonnes

Number of containers = Required stone / Weight of each container

Number of containers = 60 tonnes / 0.8064 tonnes

Number of containers = 74.404 = 75 Container (Approx)

Total cost of the containers = 75 Container * £45.16

Total cost of the containers = £3,387