Surface Area of Prisms

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

Lateral Surface Area = perimeter of base × height of prism.

Tags

CCSS.7.G.B.6

Front

How do you calculate the 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 surface area of a cube with side length s?

Back

Surface Area = 6s².

Tags

CCSS.6.G.A.4

Front

If a rectangular prism has dimensions 4 ft, 5 ft, and 6 ft, what is its surface area?

Back

Surface Area = 2(4*5 + 4*6 + 5*6) = 2(20 + 24 + 30) = 2(74) = 148 ft².

Tags

CCSS.7.G.B.6

Front

What is the lateral surface area of a cylinder?

Back

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

Front

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

Back

Lateral surface area excludes 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 find the area of a triangle?

Back

Area = 1/2 × base × height.

Tags

CCSS.6.G.A.1

Front

What is the surface area of a triangular prism with a base area of 30 cm² and a height of 10 cm?

Back

Total Surface Area = Lateral Surface Area + 2 × Base Area = (perimeter of base × height) + 2 × 30.

Tags

CCSS.7.G.B.6

Front

What is the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm?

Back

Perimeter = 3 + 4 + 5 = 12 cm.

Tags

CCSS.3.MD.D.8