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What is the surface area of the right square pyramid if the height is 11.1 yards and the base is 5.3 yards?
Surface Area (S.A.) = Lateral area (L.A.) + Base Area (B)
Since the base of the pyramid is a square, then B = (5.3 yd)2 = 28.09 yd2.
To find L.A., the sum of the four triangular areas with base 5.3 yd, we need to find first their slant height (l) by using the Pythagorean theorem.
l = √[(5.3/2)2 + 11.12] = √(28.09/4 + 123.21) = √[(28.09 + 123.21*4)/4] = (√520.93)/2 yd.
L.A. = 4[(1/2)(5.3√520.93)] = 10.6√520.93 yd2.
S.A. = 10.6√520.93 + 28.09 ≈ 270 yd2.
What else can I help you with?
What is the surface area of the right square pyramid in square meters?
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What is the surface area of a right cylinder where 3 is the height and 8 is the radius?
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The slant height of a pyramid is 46 ft The base is a square with a side length of 24 ft What is the height of the pyramid Round your answer to the nearest tenth?
If there is a picture, it would be very useful, because the height and slant height are two sides of a right triangle. A good picture would show that the bottom side of this triangle is half the side length of the square. This is a leg of the right triangle: A=12' The hypotenuse of the triangle is the slant height: C=46' The "unknown" height is the other leg of the right triangle: B=? The pythagorean theorem A2+B2=C2 gives 144sqft+B2=2116sqft Solving for B gives B=44.4' Therefore, the height of the pyramid is 44.4 feet.
Is The slant height of a regular square pyramid is longer than its altitude?
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What is the lateral area of right cylinder with a base diameter of 10 and a height of 10?
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What is the surface area of the right square pyramid in square meters?
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
What is the area of a square pyramid?
The answer will depend on the area of the base, whether or not it is a right pyramid, and its height.
Volume of a right square pyramid?
1/3 b x h b=area of base h=height of pyramid
How do you work out the trigonometry of a rectangular based pyramid?
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How do you find the lateral height of a square pyramid?
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Is the height of a right pyramid longer than its slant height?
no
What is the surface area of a right cone with a slant height of 6 and a radius of 7?
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Surface area of pyramid?
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What is the surface area of a right cylinder where 3 is the height and 8 is the radius?
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If X = 8 units and Y = 11 units, what is the surface area of the right square pyramid shown above?
200
Which object has five faces one square base and one line of symmetry?
A right, square based pyramid.A right, square based pyramid.A right, square based pyramid.A right, square based pyramid.
What is surface area of a right cylinder with a radius of 5 inches and a height of 5 inches?
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