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

Conrad Barr

22 September, 17:23

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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Randy Morton · 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