Surface Area of Prisms and Cylinders

Front

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

Back

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

Front

Define total surface area of a prism.

Back

Total Surface Area = Lateral Surface Area + Area of the two bases.

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the 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 both lateral area and the area of the bases.

Tags

CCSS.7.G.B.6

Front

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

Back

Lateral Surface Area = 2π(3)(5) = 30π cm² ≈ 94.25 cm².

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

How do you find the area of the base of a cylinder?

Back

Area of the base = πr², where r is the radius of the base.

Tags

CCSS.7.G.B.4

Front

What is the lateral surface area of a prism with a height of 10 m and a perimeter of the base of 20 m?

Back

Lateral Surface Area = height × perimeter = 10 m × 20 m = 200 m².

Tags

CCSS.7.G.B.6

Front

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

Back

Total Surface Area = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 m².

Tags

CCSS.7.G.B.6