Surface Area (Cylinders, Rectangular & Triangular Prisms)

Front

What is surface area?

Back

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

Front

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

Back

Surface Area = bh + l1h + l2h + l3h, where b is the base, h is the height, and l1, l2, l3 are the lengths of the triangular sides.

Front

What does lateral surface area refer to?

Back

The area of the sides of a three-dimensional shape, excluding the top and bottom.

Front

How do you find the surface area of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

Total Surface Area = 2π(5)(10 + 5) = 471.24 cm².

Front

What is the lateral surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Lateral Surface Area = 2π(3)(7) = 131.88 cm².

Front

What is the surface area of a rectangular prism with dimensions 4 ft, 5 ft, and 6 ft?

Back

Surface Area = 2(4*5 + 4*6 + 5*6) = 94 ft².

Front

What is the surface area of a triangular prism with a base of 6 cm, height of 4 cm, and slant heights of 5 cm, 5 cm, and 6 cm?

Back

Surface Area = 6*4 + 5*4 + 5*4 + 6*4 = 56 cm².