Surface Area and Volume of Pyramids and Cones

Front

What is the formula for the lateral area of a pyramid?

Back

Lateral Area = (Perimeter of Base × Slant Height) / 2

Front

What is the formula for the surface area of a cone?

Back

Surface Area = πr(r + l) where r is the radius and l is the slant height.

Front

Define lateral area in the context of three-dimensional shapes.

Back

Lateral area is the area of the sides of a three-dimensional shape, excluding the base.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height.

Front

How do you calculate the area of a regular pentagon?

Back

Area = (1/2) × Perimeter × Apothem.

Front

What is the slant height of a pyramid?

Back

The slant height is the distance from the apex of the pyramid to the midpoint of a side of the base.

Front

What is the relationship between the height and slant height of a pyramid?

Back

The height is the perpendicular distance from the apex to the base, while the slant height is the distance along the face of the pyramid.

Front

Calculate the lateral area of a right pentagonal pyramid with a base side length of 2 cm and an apothem of 1.4 cm.

Back

Lateral Area = (Perimeter × Slant Height) / 2 = (10 cm × 7 cm) / 2 = 35 cm².

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × πr²h where r is the radius and h is the height.

Front

How do you find the surface area of a pyramid with a square base?

Back

Surface Area = Base Area + Lateral Area.