Geometry: Surface Area and Volume

Mr. Tipton explains the concept of surface area for prisms and cylinders, contrasting it with volume. He details the calculation of surface area for rectangular prisms, triangular prisms, and cylinders, using examples and formulas. The video emphasizes understanding the geometry and dimensions involved in these calculations.

What is the primary difference between surface area and volume?

• Surface area measures the space inside a figure, while volume measures the space outside.

• Surface area is the sum of all face areas, while volume is the space inside a figure.

• Surface area is measured in cubic units, while volume is in square units.

• Surface area and volume are the same.

Which of the following is true about the surface area of a rectangular prism?

• It is calculated by adding the areas of all its edges.

• It is calculated by adding the areas of all its faces.

• It is calculated by adding the volume and the perimeter.

• It is calculated by multiplying the length, width, and height.

How many pairs of identical rectangles are there in a rectangular prism?

• Four pairs

• One pair

• Two pairs

• Three pairs

If a rectangular prism has a length of 12 cm, width of 6 cm, and height of 7 cm, what is the surface area?

• 84 square cm

• 300 square cm

• 396 square cm

• 144 square cm

What is the formula for the area of a triangle?

• Base plus height

• Base minus height

• Half of base times height

• Base times height

In a triangular prism, what connects the two triangular bases?

• The height of the prism

• The length of the prism

• The width of the prism

• The diagonal of the prism

What is the surface area of a triangular prism with triangles having a base of 4 cm and height of 7 cm?

• 28 square cm

• 56 square cm

• 14 square cm

• 84 square cm

Which measurement is common among all rectangles in a triangular prism?

• The height

• The base

• The width

• The diagonal

What is the formula for the area of a circle?

• Pi times circumference

• Pi times radius

• Pi times diameter

• Pi times radius squared

How do you calculate the lateral surface area of a cylinder?

• By multiplying the area of the base by the height

• By multiplying the diameter by the height

• By multiplying the radius by the height

• By multiplying the circumference by the height