Question

If a pyramid is oblique rather than right, what is true about finding the surface area and volume?
A. Surface Area is done differently than for a right pyramid, Volume is done the same way as for a right pyramid.
B. Surface Area is done the same way as for a right pyramid, Volume is done differently than for a right pyramid.
C. Surface Area is done differently than for a right pyramid, Volume is done differently than for a right pyramid.
D. Surface Area is done the same way as for a right pyramid, Volume is done the same way as for a right pyramid.

Answer 1

Hint: In this question we have to find the correct statement for surface area and volume of a right pyramid and oblique pyramid hence we will check the position of apex and we can determine it with the help of a diagram after that check which option is correct in the above given options.


Complete step by step answer:
A polygonal pyramid with triangular faces equal to the number of sides in the base. The triangular faces of a pyramid meet at a single point known as the apex. The faces of the pyramid are connected to the pyramid's base. The total area occupied by the surface of a pyramid is measured by its surface area. It is measured in square units since it is the sum of the areas of its faces.
Different varieties of pyramids are named according their base, such as a triangular pyramid, square pyramid, rectangular pyramid, pentagonal pyramid, and so on that is, if a pyramid's base is square, it is referred to as a square pyramid. A pyramid's side faces are all triangles, with one side of each triangle merging with a base side.
A pyramid is a polyhedron produced by joining a polygonal base with a point, known as the apex, in geometry. A lateral face is a triangle formed by the base edge and apex of each lateral face. The number of units occupied by a pyramid is measured by the volume of the pyramid.
The apex of an oblique pyramid is not over the center of the base. A right pyramid is the polar opposite where the apex is over the base of a center point.
Here Figure \[(1)\] shows the right pyramid:
                              

Here Figure \[(2)\] shows the oblique pyramid:
                        

The traditional methods for calculating the surface area of an oblique pyramid are no longer valid. You would have to divide the shape into pieces, compute each separately, and then combine the results. The volume calculation approach, on the other hand, works for both right and oblique pyramids.

So, the correct answer is “Option A”.

Note:
Tetrahedron is the name given to a pyramid with a triangle base. The pyramid's base can be made up of any number of triangles. The regular tetrahedron is formed when all of the faces are equilateral triangles or triangles with equal-length edges. The pyramid is an irregular tetrahedron when the triangles' edges are of varied lengths.