0
What is the volume of a square based pyramid with base side lengths of 16 meters a slant height of 17 meters and a height of 15 meters?
Wiki User
∙ 10y ago
V=1/3Bh This is the equation for volume of a pyramid.
V=(1/3)(16x16)(15) Substitute values. B is the area of the base, so 16x16.
V=(1/3)(256)(15) The area of the base was found.
V=(1/3)(3480) The height and base were multiplied.
V=1280 The whole product of those numbers was divided by three.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the lateral area of a pyramid whose base is a square with sides measuring 16 meters and a slant height of 17 meters?
544 m2
What are the side lengths of a square if its area is 81 meters squared?
The side lengths of a square if its area is 81 meters squared is: 9 meters.
What is the volume of a pyramid with a height of 3 centimeters and a square base with side lengths that measure 8 centimeters?
Volume of pyramid: 1/3*8squared*3 = 64 cubic cm
What is the side length of a square with an area of 60 square meters?
The side lengths of a square with an area of 60 square meters is: 7.746 meters.
If a particular right square based pyramid has a volume of 63690 cubic meters and a height of thirty meters What is the number of meters in the length of the lateral height segment AB of a pyramid?
The formula for the volume of a pyramid such as you described would be: V = 1/3Ah where A is the area of the base (a square in this case) and h is the height of the pyramid. You know the volume and the height, so you can plug them into that formula to solve for A, the area of the square base: 63690 = 1/3A(30). A = 6369 square meters. Knowing the area of the square, and the fact that the formula for the area of a square is A = s2 where s is the length of a side, you can find the length of s by taking the square root of 6369. s = about 79.8 meters. The next steps will require some thinking about what that pyramid looks like and what the length of a lateral height segment would represent. Drawing a diagram often helps. If I understand correctly what you mean by "lateral height segment" of the pyramid, meaning the length of the segment from the center of a side at the bottom to the vertex at the top, that length would represent the hypotenuse of a right triangle whose legs are 30 meters (the inside height of the pyramid) and about 39.9 meters (half the length of a side, in other words the distance from the point at the center of the base to the center of the side). You can use the Pythagorean theorem to find that length: c2 = a2 + b2 c2 = 302 + 39.92 c2 = 900 + 1592 c2 = 2492 c = 49.9 meters (approximately)
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 volume of a square pyramid with base edges of 20 meters and a height of 30 meters?
Volume = 4000 m3
What is the lateral area of a pyramid whose base is a square with sides measuring 16 meters and a slant height of 17 meters?
544 m2
What are the side lengths of a square if its area is 81 meters squared?
The side lengths of a square if its area is 81 meters squared is: 9 meters.
What is the volume of a pyramid with a height of 3 centimeters and a square base with side lengths that measure 8 centimeters?
Volume of pyramid: 1/3*8squared*3 = 64 cubic cm
How do you find the perpendicular height of a square based pyramid?
To find the perpendicular height of a square pyramid, first compute for the volume of the pyramid. Then divide the volume by the area of the base to find pyramid's height.
If a square garden with side lengths of 4 meters how many square meters is the garden?
16 square meters
What is the slant height of a pyramid that has all sides as equilateral triangles with sides of length of 9 cm and the surface area of the pyramid is 140.4 square cm?
The surface area of the pyramid is superfluous to calculating the slant height as the slant height is the height of the triangular side of the pyramid which can be worked out using Pythagoras on the side lengths of the equilateral triangle: side² = height² + (½side)² → height² = side² - ¼side² → height² = (1 - ¼)side² → height² = ¾side² → height = (√3)/2 side → slant height = (√3)/2 × 9cm = 4.5 × √3 cm ≈ 7.8 cm. ---------------------------- However, the surface area can be used as a check: 140.4 cm² ÷ (½ × 9 cm × 7.8 cm) = 140.4 cm² ÷ 35.1 cm² = 4 So the pyramid comprises 4 equilateral triangles - one for the base and 3 for the sides; it is a tetrahedron.
What is the side length of a square with an area of 60 square meters?
The side lengths of a square with an area of 60 square meters is: 7.746 meters.
If a particular right square based pyramid has a volume of 63690 cubic meters and a height of thirty meters What is the number of meters in the length of the lateral height segment AB of a pyramid?
The formula for the volume of a pyramid such as you described would be: V = 1/3Ah where A is the area of the base (a square in this case) and h is the height of the pyramid. You know the volume and the height, so you can plug them into that formula to solve for A, the area of the square base: 63690 = 1/3A(30). A = 6369 square meters. Knowing the area of the square, and the fact that the formula for the area of a square is A = s2 where s is the length of a side, you can find the length of s by taking the square root of 6369. s = about 79.8 meters. The next steps will require some thinking about what that pyramid looks like and what the length of a lateral height segment would represent. Drawing a diagram often helps. If I understand correctly what you mean by "lateral height segment" of the pyramid, meaning the length of the segment from the center of a side at the bottom to the vertex at the top, that length would represent the hypotenuse of a right triangle whose legs are 30 meters (the inside height of the pyramid) and about 39.9 meters (half the length of a side, in other words the distance from the point at the center of the base to the center of the side). You can use the Pythagorean theorem to find that length: c2 = a2 + b2 c2 = 302 + 39.92 c2 = 900 + 1592 c2 = 2492 c = 49.9 meters (approximately)
What is the surface area of a square pyramid of 9cm and 6cm?
The surface area of a square pyramid depends on the lengths of the sides of the square base and of the vertical height. While the question does give two linear measures, it does not say which is which! And without that crucial bit of information, I cannot provide a more useful answer.
Area of a 20 meter square?
A square with side lengths of 20 meters has an area of 400 square meters.
