Surface Areas of Prisms and Cylinders

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

How do you calculate 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.

Front

What is the diameter of a cylinder?

Back

The diameter is twice the radius of the cylinder.

Front

If a cylinder has a radius of 2 inches and a height of 5 inches, what is its total surface area?

Back

Total Surface Area = 2π(2)(5 + 2) = 28π square inches.

Front

What is the height of a cylinder?

Back

The height is the distance between the two circular bases of the cylinder.

Front

How do you find 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 relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius.

Front

Calculate the surface area of a cylinder with a height of 10 cm and a diameter of 4 cm. Use π = 3.14.

Back

Surface Area = 2πr(h + r) = 2 × 3.14 × 2 × (10 + 2) = 150.72 cm².

Front

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

Back

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

Front

What is the total surface area of a rectangular prism with dimensions 3 ft x 4 ft x 5 ft?

Back

Total Surface Area = 2(3*4 + 3*5 + 4*5) = 94 ft².