Surface Area of Prisms and Cylinders

Front

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

Back

Lateral Surface Area = 2h(l + w), where h is height, l is length, and w is width.

Tags

CCSS.7.G.B.6

Front

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

Back

Total Surface Area = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

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

Back

Lateral Surface Area = 2πrh, where r is radius and h is height.

Front

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

Back

Total Surface Area = 2πr(h + r), where r is radius and h is height.

Front

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

Back

Lateral surface area does not include the area of the bases, while total surface area includes the area of the bases.

Tags

CCSS.7.G.B.6

Front

How do you calculate the surface area of a cylinder with a radius of 5 cm and height of 10 cm?

Back

Total Surface Area = 2π(5)(10 + 5) = 471.2 cm².

Front

What is the lateral surface area of a rectangular prism with dimensions 8 m (length), 5 m (width), and 10 m (height)?

Back

Lateral Surface Area = 2h(l + w) = 2(10)(8 + 5) = 260 m².

Tags

CCSS.7.G.B.6

Front

If a cylinder has a radius of 3 inches and a height of 7 inches, what is its lateral surface area?

Back

Lateral Surface Area = 2π(3)(7) = 131.9 in².

Front

What is the total surface area of a rectangular prism with dimensions 4 m (length), 3 m (width), and 2 m (height)?

Back

Total Surface Area = 2lw + 2lh + 2wh = 2(4)(3) + 2(4)(2) + 2(3)(2) = 48 m².

Tags

CCSS.7.G.B.6

Front

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

Back

Total Surface Area = 2π(4)(10 + 4) = 351.9 cm².