A right triangle with a hypotenuse of 65 meters and a leg of 25 meters has an area of: 750 square meters.
No angles are larger than 90 degrees in a square based pyramid.
they both have quadrilateral bases, they're both polyhedrons, and they both can tessellate (if it's a right prism and a right pyramid)
Yes - it has four around the base !
Square-based pyramid.
200
A right, square based pyramid.A right, square based pyramid.A right, square based pyramid.A right, square based pyramid.
No, but a square pyramid does.
The answer will depend on the area of the base, whether or not it is a right pyramid, and its height.
A right triangle with a hypotenuse of 65 meters and a leg of 25 meters has an area of: 750 square meters.
four
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)
If it is a right pyramid then four, otherwise one or none.
No angles are larger than 90 degrees in a square based pyramid.
A trapezium or a triangle. If the pyramid is a right pyramid then they would both be isosceles.
The line joining the apex to the centre of the square base of a right pyramid is an axis of symmetry. Not sure what the other three are!
A lot of things. For example, a cube has 8 vertices, the square pyramid has 5. A cube also has more edges and faces than the pyramid. All the faces of the cube are squares, while the pyramid only has one square face. Also, all the angles in the cube are right angles, while the angles in a square pyramid (in the usual sense of a pyramid where the apex is directly above the center of the base) are acute. In any case, they are not all right angles.