Surface Area of Prisms and Pyramids Review 6th grade

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = (Base Area x 2) + (Perimeter of Base x Height of Prism).

Tags

CCSS.7.G.B.6

Front

How do you find the surface area of a pyramid?

Back

Surface Area = Base Area + (1/2 x Perimeter of Base x Slant Height).

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cube with a side length of 5 cm?

Back

Surface Area = 6s² = 6(5 cm)² = 150 cm².

Tags

CCSS.6.G.A.4

Front

What is the surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Surface Area = 2πr(h + r) = 2π(3)(7 + 3) = 188.4 cm².

Front

What is the surface area of a square pyramid with a base side of 6 cm and a slant height of 10 cm?

Back

Surface Area = 36 cm² + (1/2 x 24 cm x 10 cm) = 36 cm² + 120 cm² = 156 cm².

Tags

CCSS.7.G.B.6

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

If a prism has a base area of 20 cm² and a height of 5 cm, what is its volume?

Back

Volume = Base Area x Height = 20 cm² x 5 cm = 100 cm³.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cone with a radius of 4 cm and a height of 3 cm?

Back

Surface Area = πr(r + l), where l = slant height. First find l using Pythagorean theorem: l = √(r² + h²) = √(4² + 3²) = 5 cm. Surface Area = π(4)(4 + 5) = 36.8 cm².

Front

What is the surface area of a prism with a height of 10 cm and a base perimeter of 24 cm?

Back

Surface Area = (Base Area x 2) + (Perimeter of Base x Height). If Base Area = 48 cm², then Surface Area = 48 cm² x 2 + 24 cm x 10 cm = 96 cm² + 240 cm² = 336 cm².

Tags

CCSS.7.G.B.6