Understanding Adding and Subtracting Rational Expressions

This video tutorial covers the calculation of surface area for prisms and cylinders. It begins with rectangular prisms and cubes, explaining the formula for surface area and providing examples. The tutorial then moves on to other types of prisms, introducing the concept of lateral area. The video also covers the surface area of cylinders, using the formula for the area of a circle. Finally, it includes application questions to demonstrate real-world uses of these calculations.

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

• length + width + height

• 2(length x width) + 2(length x height) + 2(width x height)

• 2(length + width + height)

• length x width x height

If a rectangular prism has dimensions of 12 cm by 7 cm by 9 cm, what is its surface area?

• 394 cm²

• 510 cm²

• 729 cm²

• 648 cm²

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

• 2 x Area of the base

• Height x Perimeter of the base

• Area of the base x Height

• Perimeter of the base x Width

What is the perimeter of the base for a triangular prism if the sides measure 3, 9, and 10 units?

• 22 units

• 30 units

• 19 units

• 24 units

What is the surface area of a trapezoidal prism if the area of the bases is 457.2 and the lateral area is 462?

• 1000

• 462

• 457.2

• 919.2

What is the formula to calculate the lateral area of a cylinder?

• π(radius² + height)

• 2π(radius + height)

• π(radius² x height)

• 2π(radius x height)

If a cylinder has a radius of 6 and a height of 21, what is the lateral area?

• 791.7

• 396.85

• 628.3

• 1256.6

How many jars of frosting are needed to cover a cake with a surface area of 396 inches squared if one jar covers 120 inches squared?

• 4 jars

• 6 jars

• 3 jars

• 5 jars

What is the surface area of a stack of 40 quarters, each with a diameter of 24 mm and a height of 1.75 mm?

• 772.8375 mm²

• 1545.675 mm²

• 3091.35 mm²

• 6182.7 mm²

For a cylinder with a radius of 11.5 and a height of 9, what is the total surface area?

• 1481.3 m²

• 740.65 m²

• 370.325 m²

• 185.1625 m²