Surface Area of Pyramids, Cones, and Spheres

Front

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

Back

The surface area of a sphere is given by the formula: 4πr², where r is the radius of the sphere.

Front

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

Back

The surface area of a cone is given by the formula: πr(r + l), where r is the radius of the base and l is the slant height.

Front

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

Back

The surface area of a pyramid is given by the formula: Base Area + (1/2 * Perimeter of Base * Slant Height).

Front

What is a slant height?

Back

The slant height is the distance from the top of a pyramid or cone to the edge of the base along the side.

Front

What is the surface area of a sphere with a radius of 3 cm?

Back

The surface area is 4π(3)² = 36π cm², approximately 113.1 cm².

Front

What is the surface area of a cone with a radius of 4 cm and a slant height of 5 cm?

Back

The surface area is π(4)(4 + 5) = 36π cm², approximately 113.1 cm².

Front

What is the surface area of a triangular pyramid with a base area of 10 cm² and a slant height of 6 cm?

Back

The surface area is 10 + (1/2 * Perimeter of Base * 6). Calculate the perimeter to find the total.

Front

What solid has a circular base and a pointed top?

Back

A cone has a circular base and a pointed top.

Front

What solid has a triangular base and three triangular faces?

Back

A triangular pyramid has a triangular base and three triangular faces.

Front

How do you find the surface area of a sphere?

Back

To find the surface area of a sphere, use the formula: 4πr², where r is the radius.