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40 tourists are comming from Switzerland to visit Mt. Everest. They planned to stay at Everest base. camp for 4 days for this purpose they ordered square based some pyramid tent in Nepal. A tent hold 8 people and each person 6ft×3ft space on the ground with 48 ft^3 of air to breathe find the total cost of all tents at the rate of Rs. 500/ft^2 ? p​

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ItsNiraula

Answer:

Solution

Step-by-step explanation:

There are 40 tourists and one tent can hold 8 people so number of tents = 40/8 = 5tents

Space for 1 person on ground = 6×3 = 18ft²

Space for 8 person on ground = 8×18= 144ft²

So the base area of pyramid = 144ft²

As it is a square based pyramid

a² = 144 , a=12ft

A person can breathe 48ft³ air

8 people can breathe 48×8 = 384ft³ air

Volume of tent = 384

1/3 a²h = 384 , h = 8ft

For slant height(l),

h²+(a/2)² = l²

64 + 36 = l² , l = 10ft

Lateral surface area = 2al = 2×10×12 = 240ft²

Total surface area =(2al+a²)=240+144=384ft²

Cost of 1ft² = 500

Cost of 384ft² = 500×384 = Rs192000

Cost of 1 tent = Rs190000

Cost of 5 tents = 192000×5 = Rs960000

raphealnwobi

The total cost of all tents is Rs. 360000

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

A tent hold 8 people and each person 6ft×3ft space on the ground. For 40 people:

Number of tents = 40/8 = 5 tents

Area for 5 tents = (8 * 6ft * 3 ft) * 5 tents = 720 ft²

Given a cost of Rs. 500/ft^2, hence:

Total cost = 720 ft² * Rs. 500/ft² = Rs. 360000

The total cost of all tents is Rs. 360000

Find out more on equation at: https://brainly.com/question/2972832

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