Nets and Surface Area of Prisms and Pyramids

Front

What is a net in geometry?

Back

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

Front

Define surface area.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is the formula for the surface area of a triangular prism?

Back

Surface area = (base area + lateral area). Lateral area = perimeter of base × height.

Front

What is the surface area of a pyramid?

Back

Surface area = base area + (1/2 × perimeter of base × slant height).

Front

How does dilation affect the surface area of a shape?

Back

When a shape is dilated by a scale factor k, the new surface area is k² times the original surface area.

Front

What is the surface area of a cube with side length s?

Back

Surface area = 6s².

Front

How do you find the surface area of a cylinder?

Back

Surface area = 2πr(h + r), where r = radius and h = height.

Front

What is the relationship between the surface area and volume of prisms and pyramids?

Back

Surface area measures the total area of the surfaces, while volume measures the space inside the shape.

Front

How do you find the area of a triangle?

Back

Area = (1/2) × base × height.