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Q: How far from the base of a pyramid of altitude 10 m is a section parallel to the base and equal in area to half of the base?

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5*sqrt(2) metres from the apex, which is 2.9289 m from the base.

False

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)

A pyramid does not need to have any equal sides. A REGULAR pyramid has as many equal sides as the number of sides on the base. So, a triangular pyramid (tetrahedron) will have 3 equal faces, a square based pyramid will have 4, etc.

A quadrilateral has four sides that may or may not be equal or parallel If two sides are parallel and the other sides equal but not parallel it is a trapezoid

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5*sqrt(2) metres from the apex, which is 2.9289 m from the base.

False

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)

A pyramid does not need to have any equal sides. A REGULAR pyramid has as many equal sides as the number of sides on the base. So, a triangular pyramid (tetrahedron) will have 3 equal faces, a square based pyramid will have 4, etc.

No. The altitude is smaller.

A quadrilateral has four sides that may or may not be equal or parallel If two sides are parallel and the other sides equal but not parallel it is a trapezoid

No, the parallel sides of a trapezoid are not equal.

Volume pyramid = 1/3 x base_area x height = 1/3 x (6m x 6m) x 6m = 72m3.

One pyramid block or stone is equal to about 2.5 tons. One pyramid block or stone is equal to about 2.5 tons.

Because the cabin inside the plane is pressurized?

When standard atmospheric conditions exist.

It can do. The non-parallel sides of an isosceles trapezium will be equal. Also, one of the non-parallel sides could be equal to one of the parallel sides.