12.2 &12.3 Surface Areas of Prisms, Pyramids, Cylinders & Cones

Front

What is the formula for the surface area of 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

How do you calculate the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = \pi r^2 h, where r = radius of the base and h = height.

Front

What is the surface area of a pyramid?

Back

The surface area (SA) of a pyramid is given by the formula: SA = B + \frac{1}{2}Pl, where B = area of the base, P = perimeter of the base, and l = slant height.

Front

Define the term 'slant height' in relation to cones and pyramids.

Back

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

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is calculated using the formula: V = \frac{1}{3} \pi r^2 h, where r = radius of the base and h = height.

Front

How do you find the surface area of a cone?

Back

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

Front

What is the relationship between the surface area and volume of a prism?

Back

The surface area measures the total area of the prism's faces, while the volume measures the space contained within the prism.

Front

Calculate the volume of a triangular prism with a base area of 20 cm² and height of 10 cm.

Back

Volume = Base Area × Height = 20 cm² × 10 cm = 200 cm³.

Front

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

Back

The surface area (SA) of a cylinder is given by the formula: SA = 2\pi r(h + r), where r = radius and h = height.

Front

How do you find the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula: V = lwh, where l = length, w = width, and h = height.