11.1- Lateral Area and Surface Area of Prisms/Cylinders

Front

What is the lateral surface area of a prism?

Back

The lateral surface area of a prism is the sum of the areas of all the lateral faces (the sides) of the prism, excluding the top and bottom bases.

Front

How do you calculate the lateral surface area of a cylinder?

Back

The lateral surface area of a cylinder can be calculated using the formula: Lateral Surface Area = 2πrh, where r is the radius and h is the height of the cylinder.

Front

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

Back

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

Front

Define surface area in the context of three-dimensional shapes.

Back

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

Front

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

Back

The surface area of a cylinder is calculated using the formula: Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

How do you find the lateral surface area of a triangular prism?

Back

To find the lateral surface area of a triangular prism, calculate the perimeter of the triangular base and multiply it by the height of the prism: Lateral Surface Area = Perimeter of base × Height.

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area includes only the area of the sides of a three-dimensional shape, while total surface area includes the area of the sides plus the area of the top and bottom bases.

Front

Calculate the lateral surface area of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

Lateral Surface Area = 2πrh = 2π(5)(10) = 100π cm² ≈ 314.16 cm².

Front

What is the lateral surface area of a cube with a side length of 4 cm?

Back

Lateral Surface Area = 4 × (side length)² = 4 × (4)² = 64 cm².

Front

How do you find the surface area of a prism with a polygonal base?

Back

To find the surface area of a prism with a polygonal base, calculate the area of the base, multiply by the height, and add the lateral surface area.