11.1- Lateral Area and Surface Area of Prisms/Cylinders

Front

What is the lateral area of a prism?

Back

The lateral area of a prism is the sum of the areas of all the lateral faces, excluding the bases.

Tags

CCSS.7.G.B.6

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What does surface area represent in three-dimensional shapes?

Back

Surface area represents the total area that the surface of a three-dimensional shape occupies.

Front

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

Back

Lateral Area = Perimeter of the base × Height of the prism.

Tags

CCSS.7.G.B.6

Front

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

Back

Lateral area includes only the sides of the shape, while total surface area includes the sides and the bases.

Tags

CCSS.7.G.B.6

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2π(3)(5) = 30π ≈ 94.25 cm².

Front

What is the lateral area of a rectangular prism with a height of 4 cm and a perimeter of the base of 20 cm?

Back

Lateral Area = Perimeter × Height = 20 × 4 = 80 cm².

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

What is the formula for the lateral area of a cone?

Back

Lateral Area = πrl, where r is the radius and l is the slant height.