Surface Area Prisms

Front

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

Back

Lateral Surface Area = Perimeter of the base × Height

Front

Define total surface area of a prism.

Back

Total Surface Area = Lateral Surface Area + Area of the two bases.

Front

What is the lateral surface area of a rectangular prism with a height of 10 ft and a base perimeter of 20 ft?

Back

Lateral Surface Area = 20 ft × 10 ft = 200 ft².

Front

How do you calculate the area of a triangular base?

Back

Area = (Base × Height) / 2.

Front

What is the total surface area of a triangular prism with a base area of 30 cm², height of 10 cm, and lateral surface area of 120 cm²?

Back

Total Surface Area = 120 cm² + 2 × 30 cm² = 180 cm².

Front

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

Back

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

Front

Find the lateral surface area of a cylinder with a radius of 3 cm and height of 5 cm.

Back

Lateral Surface Area = 2πr × h = 2π(3 cm)(5 cm) = 30π cm².

Front

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

Back

Lateral surface area excludes the area of the bases, while total surface area includes both lateral area and the area of the bases.

Front

Calculate the total surface area of a cube with a side length of 4 cm.

Back

Total Surface Area = 6 × (side length)² = 6 × (4 cm)² = 96 cm².

Front

What is the lateral surface area of a prism with a height of 8 m and a base perimeter of 12 m?

Back

Lateral Surface Area = 12 m × 8 m = 96 m².