3.5 Surface Area of Prisms and Cylinders

Front

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

Back

The total surface area (SA) of a rectangular prism is given by the formula: SA = 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 rectangular prism?

Back

The lateral surface area (LSA) of a rectangular prism is given by the formula: LSA = 2h(l + w), where h is the height, l is the length, and w is the width.

Front

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

Back

The total surface area (SA) of a cylinder is given by the formula: SA = 2 ext{π}r^2 + 2 ext{π}rh, where r is the radius and h is the height.

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 = 2 ext{π}rh, where r is the radius and h is the height.

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its total surface area?

Back

The total surface area is 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 cm².

Front

Calculate the lateral surface area of a rectangular prism with dimensions 7 cm (length), 3 cm (width), and 9 cm (height).

Back

The lateral surface area is LSA = 2h(l + w) = 2*9(7 + 3) = 2*9*10 = 180 cm².

Front

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

Back

Using the formula SA = 2 ext{π}r^2 + 2 ext{π}rh, we find SA = 2*3.14*4^2 + 2*3.14*4*10 = 100.48 + 251.2 = 351.68 cm².

Front

What is the lateral surface area of a cylinder with a radius of 5 cm and a height of 12 cm?

Back

Using the formula LSA = 2 ext{π}rh, we find LSA = 2*3.14*5*12 = 376.8 cm².

Front

Define 'surface area' in the context of 3D shapes.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

What is the difference between total surface area and lateral surface area?

Back

Total surface area includes all surfaces of the 3D shape, while lateral surface area only includes the sides, excluding the top and bottom.