Surface Area of Pyramids

Front

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

Back

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

Front

Define a triangular pyramid.

Back

A triangular pyramid, also known as a tetrahedron, is a three-dimensional shape with a triangular base and three triangular faces that meet at a point (the apex).

Front

What is the surface area of a square pyramid with a base length of 4m and slant height of 5m?

Back

The surface area is 12m² (Base Area = 4m² + 1/2 * Perimeter of Base * Slant Height = 4 + 1/2 * 16 * 5 = 12).

Front

How do you calculate the base area of a triangular pyramid?

Back

The base area of a triangular pyramid can be calculated using the formula: Base Area = 1/2 * base * height of the triangle.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a three-dimensional object, while volume measures the amount of space inside the object.

Front

What is the perimeter of a base in a pyramid?

Back

The perimeter of the base is the total length of all the sides of the base shape (e.g., for a square base, it is 4 times the length of one side).

Front

Find the surface area of a triangular pyramid with a base area of 30 sq. cm and a slant height of 10 cm.

Back

The surface area is 60 sq. cm (SA = Base Area + 1/2 * Perimeter of Base * Slant Height).

Front

What is a net of a pyramid?

Back

A net of a pyramid is a two-dimensional representation that shows all the faces of the pyramid laid out flat.

Front

How do you find the slant height of a pyramid?

Back

The slant height can be found using the Pythagorean theorem if the height and half the base length are known.

Front

What is the surface area of a triangular prism with base lengths 15, base height 13, and slant height 10?

Back

The surface area is 322.5 in².