Nets and surface area of prisms

Front

What is a net in geometry?

Back

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

Front

What is a prism?

Back

A prism is a three-dimensional solid with two parallel, congruent bases connected by rectangular faces.

Front

How do you find the surface area of a prism?

Back

To find the surface area of a prism, calculate the area of the bases and the area of the lateral faces, then sum them up.

Front

What is the formula for 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 = bh + (perimeter of base * height), where b = base area and h = height of the prism.

Front

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

Back

A triangular prism has two triangular bases and rectangular faces, while a triangular pyramid has one triangular base and three triangular faces.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the total surface area of a prism with a base area of 20 cm² and a height of 5 cm?

Back

Total Surface Area = 20 cm² + (perimeter of base * height). (Assuming perimeter is known, calculate accordingly.)

Front

If a rectangular prism has dimensions 3 cm, 4 cm, and 5 cm, what is its surface area?

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Front

What is the surface area of a cube with a side length of 6 cm?

Back

Surface Area = 6 * (side length)² = 6 * (6 cm)² = 216 cm².