Surface Area of Prisms and Cylinders Quick Check

Front

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

Back

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

Front

How do you calculate the total surface area of a rectangular prism?

Back

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

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

How do you find 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 lateral surface area of a prism?

Back

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

Front

What is the total surface area of a prism?

Back

The total surface area is the sum of the lateral surface area and the areas of the two bases.

Front

If a rectangular prism has a length of 10 cm, width of 5 cm, and height of 4 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2h(l + w) = 2(4)(10 + 5) = 120 cm².

Front

What is the lateral surface area of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

Lateral Surface Area = 2πrh = 2π(3)(5) ≈ 94.25 square inches.

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 the lateral area and the area of the bases.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 * base * height.