Volumes and Surface Areas of Pyramids, Cones and Spheres

Front

The lateral faces of a pyramid are always triangular.

Back

True

Answer explanation

The statement is True because the lateral faces of a pyramid are always triangular, forming the sides that connect the base to the apex.

Front

Does a rectangular pyramid have four identical lateral faces?

Back

False

Answer explanation

A rectangular pyramid has a rectangular base and four triangular lateral faces. Since the lateral faces are not identical, the statement is false.

Front

A square-based pyramid has how many faces in total?

Back

5

Answer explanation

A square-based pyramid has a square base and four triangular faces that meet at a point. Therefore, it has a total of 5 faces: 1 base face and 4 triangular faces.

Front

What is the shape of the base of a hexagonal pyramid?

Back

Hexagon

Answer explanation

The base of a hexagonal pyramid is a hexagon, which is a six-sided polygon. Therefore, the correct answer is hexagon.

Front

Which part of a pyramid connects the apex (or known as the tip) to the centre of the base?

Back

Height

Answer explanation

The height of a pyramid is the perpendicular distance from the apex to the center of the base. It connects these two points directly, making it the correct answer.

Front

Formula to find the volume of a pyramid.

Back

Front

In a pyramid, what does the term ‘slant height’ refer to?

Back

The height along the lateral face

Answer explanation

In a pyramid, 'slant height' refers to the height along the lateral face, which is the distance from the apex to the midpoint of a side of the base. This distinguishes it from other height measurements.

Front

The base of a cone is a:

Back

Circle

Answer explanation

The base of a cone is a circle. This is because a cone is formed by rotating a right triangle around one of its legs, resulting in a circular base.

Front

Formula to find the volume of a cone?

Back

Front

In a cone, the slant height is the distance from the top to: The base, The centre of the base, The side of the base, The bottom of the height

Back

The side of the base

Answer explanation

The slant height of a cone is the distance from the apex to the side of the base, not the center or the bottom. Therefore, the correct answer is 'The side of the base'.