22.40 tourists are coming from Switzerland to visit Mt Everest. They planned to stay at Everest base camp for 4 days. For this purpose they ordered some squared base pyramid tent in Nepal. A tent can holds people and each person have o fitx3ft space on the ground withi 48 cu. of air to breadth. Find the total cost of all tents at the rate of Rs.560 per feet square



Respuesta :

The cost of 32.57ft^2 is Rs. 18,239.2 which is the cost of renting one tent.

Data;

  • Height = 48cu = 48 cubic feet = 3.63 feet
  • edge length = 3ft
  • area = ?

Area of a Square Pyramid

The formula of a square pyramid is given as

[tex]A = l^2 + 2l\sqrt{\frac{l^2}{4} + h^2} \\[/tex]

Let's substitute the values and solve for the area of the square pyramid.

[tex]A = l^2 + 2l\sqrt{\frac{l^2}{4} + h^2} \\\\A = 3^2 + 2*3\sqrt{\frac{3^2}{4} + 3.63^2} \\A = 9 + 6{\sqrt{15.43} } \\A = 32.57ft^2[/tex]

Since the cost of 1 square foot  = Rs. 560

32.57 ft^2 = x

[tex]1sq = 560\\32.57 = x\\x = 32.57 * 560\\x = 18,239.2[/tex]

The cost of 32.57ft^2 is Rs. 18,239.2 which is the cost of renting one tent.

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