SOLUTION: A children's playground committee is planning to set up a tent in the shape of a right pyramid. The pyramid has a square base with side lengths of 10 m. The height of the pyramid w

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Question 1196921: A children's playground committee is planning to set up a tent in the shape of a right pyramid. The pyramid has a square base with side lengths of 10 m. The height of the pyramid will be 8 m. The floor of the tent will be a rubberized pad while the walls will be made out of canvas.
a. How much canvas will be required to cover the walls of the tent?
b. If the canvas is sold by the square metre and costs $15.75 per metre squared, how much will it cost to cover the tent
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
pyramid has a square base with side lengths of 10 m. The height of the pyramid will be 8 m
.

Square Pyramid

V = 1/3 bh
b is the area of the base
Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. 
Square Pyramid
Surface Area= 2*B*S + B^2  (S = Slant Height)
Slant Height = 
B = 10m   H = 8m
a. How much canvas will be required to cover the walls of the tent?
Surface Area of the sides of the tent = 2*B*S
S =  = 9.434m
Surface Area of the sides of the tent = 2*B*S= 2*10*9.434 = 188.6796m^2

b. If the canvas is sold by the square metre and costs $15.75 per metre squared, how much will it cost to cover the tent
  cost = $15.75*188.6796 = $2971.70
Wish You the Best in your Studies.



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