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.

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 area of the top and bottom faces.

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 total surface area of a triangular prism with a base area of 20 cm², height of 10 cm, and lateral area of 60 cm²?

Back

Total Surface Area = Lateral Area + 2(Base Area) = 60 + 2(20) = 100 cm².

Front

How do you calculate the lateral surface area of a triangular prism?

Back

Lateral Surface Area = Perimeter of the base × height.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.