Topic 57 SA Prisms and Cylinders

Front

What is the formula for the lateral surface area of a cylinder?

Back

The lateral surface area (LSA) of a cylinder is given by the formula: LSA = 2πrh, where r is the radius and h is the height.

Front

How does the surface area of a cylinder change when its dimensions are multiplied by a factor of k?

Back

When the dimensions of a cylinder are multiplied by a factor of k, the surface area increases by a factor of k².

Front

What is the formula for the total surface area of a cylinder?

Back

The total surface area (TSA) of a cylinder is given by the formula: TSA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the relationship between the radius and height of a cylinder in terms of surface area?

Back

The surface area of a cylinder depends on both the radius and height; increasing either will increase the surface area.

Front

If the radius of a cylinder is doubled, how does the lateral surface area change?

Back

If the radius is doubled, the lateral surface area increases by a factor of 2.

Front

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

Back

The lateral surface area (LSA) of a prism is given by the formula: LSA = perimeter of the base × height.

Front

How do you find the total surface area of a prism?

Back

The total surface area (TSA) of a prism is found by adding the lateral surface area to the area of the two bases: TSA = LSA + 2 × area of the base.

Front

What is the effect of increasing the height of a cylinder on its total surface area?

Back

Increasing the height of a cylinder increases its total surface area, as it adds more area to the lateral surface.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its lateral surface area?

Back

The lateral surface area is LSA = 2π(3)(5) = 30π cm².

Front

What is the total surface area of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

The total surface area is TSA = 2π(4)(10 + 4) = 2π(4)(14) = 112π cm².