Lesson 15B Exit G2 Surface Area of Pyramids and Cones

Front

What is the surface area formula for a rectangular prism?

Back

The surface area (SA) of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh, where l = length, w = width, and h = height.

Front

What is the surface area formula for a square pyramid?

Back

The surface area (SA) of a square pyramid is given by the formula: SA = b^2 + 2bs, where b = base length and s = slant height.

Front

What is the surface area formula for a cone?

Back

The surface area (SA) of a cone is given by the formula: SA = πr^2 + πrl, where r = radius of the base and l = slant height.

Front

How do you find the slant height of a pyramid?

Back

The slant height (l) can be found using the Pythagorean theorem: l = √(h^2 + (b/2)^2), where h = height of the pyramid and b = base length.

Front

What is a net in geometry?

Back

A net is a two-dimensional representation of a three-dimensional shape that can be folded to form the shape.

Front

Identify the 3D solid from its net: Net shows a rectangle and four triangles.

Back

The 3D solid is a square pyramid.

Front

What is the difference between a rectangular prism and a rectangular pyramid?

Back

A rectangular prism has two parallel rectangular bases, while a rectangular pyramid has one rectangular base and triangular faces that meet at a point (the apex).

Front

How do you calculate the surface area of a cone?

Back

To calculate the surface area of a cone, use the formula: SA = πr^2 + πrl, where r is the radius and l is the slant height.

Front

What is the formula for the volume of a pyramid?

Back

The volume (V) of a pyramid is given by the formula: V = (1/3) * base area * height.

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is given by the formula: V = (1/3) * πr^2 * h, where r is the radius and h is the height.