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To find the slant height of a square base pyramid, you can use the Pythagorean theorem. First, determine the height (h) of the pyramid and half the length of a side of the square base (s/2). The slant height (l) can then be calculated using the formula ( l = \sqrt{h^2 + (s/2)^2} ), where ( s ) is the length of one side of the square base. This gives you the length of the slant height from the apex of the pyramid to the midpoint of a side of the base.
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What is the slant height of a square pyramid if the height is 24Cm and the base edges are 14Cm?
The slant height will be 25 cm
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm?
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
What is the area of a square pyramid lateral sides?
The lateral surface area of a square pyramid can be calculated using the formula: ( \text{Lateral Area} = 2 \times \text{base length} \times \text{slant height} ). Here, the base length refers to the length of one side of the square base, and the slant height is the height of the triangular face from the base to the apex of the pyramid. To find the total lateral area, simply plug in the values for the base length and slant height into the formula.
Why must a slant height of the pyramid be greater than the height of the pyramid?
Because the Hypotinuse is the sum of the square of the other two sides. The sum of the square of the base plus the square of the height equals the slope.
What is the slant height of a roofin the shape of a square pyramid having a lateral area of 836 square feet and a base side length of 22 feet?
To find the slant height of a square pyramid, we can use the formula for the lateral area, which is given by ( \text{Lateral Area} = \frac{1}{2} \times \text{Perimeter of base} \times \text{Slant height} ). The perimeter of the base for a square pyramid with a side length of 22 feet is ( 4 \times 22 = 88 ) feet. Setting the lateral area to 836 square feet gives us the equation: ( 836 = \frac{1}{2} \times 88 \times \text{slant height} ). Solving for the slant height yields ( \text{slant height} = \frac{836 \times 2}{88} = 19 ) feet.
What is the slant height of a square pyramid if the height is 24Cm and the base edges are 14Cm?
The slant height will be 25 cm
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm?
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
What is the slant height of a square pyramid?
The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.
A pyramid has a square base with sides 8 and a slant height of 5?
This pyramid would have a perpendicular height of 3, a volume of 64 units3 and a slant edge of 6.403
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.
Is The slant height of a regular square pyramid is longer than its altitude?
Yes, the slant height of a regular square pyramid is longer than its altitude. The altitude is the perpendicular height from the apex to the center of the base, while the slant height is the distance from the apex to the midpoint of a side of the base. In a right triangle formed by the altitude, half the base side, and the slant height, the slant height serves as the hypotenuse, making it inherently longer than the altitude.
Why the slant height of a regular square pyramid must be greater than the base edge length?
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
What is the area of a square pyramid lateral sides?
The lateral surface area of a square pyramid can be calculated using the formula: ( \text{Lateral Area} = 2 \times \text{base length} \times \text{slant height} ). Here, the base length refers to the length of one side of the square base, and the slant height is the height of the triangular face from the base to the apex of the pyramid. To find the total lateral area, simply plug in the values for the base length and slant height into the formula.
Why must a slant height of the pyramid be greater than the height of the pyramid?
Because the Hypotinuse is the sum of the square of the other two sides. The sum of the square of the base plus the square of the height equals the slope.
The square base of pyramid has a side length of 230 m and the sides of the Pyramid meet the base at an angle which measuresapproximately 60 What is the sum of the height and slant height?
429 m
Which is the volume of a square pyramid with height 15 m and slant height 17 m?
Volume of the pyramid: 1/3*base area*height in cubic m
Is the lateral edge of a pyramid is also its slant height?
No, the slant height is the from the top vertex to the base of the base of the pyramid, it forms a 90 degree angle with the base and slant height. The lateral edge is literally the lateral (side) edge.
