Surface Area of Prisms and Pyramids

Front

What is surface area?

Back

The sum of the areas of all the surfaces (faces) of a 3D shape.

Front

What do we call this object that shows all the faces of a 3D shape?

Back

Net

Tags

CCSS.6.G.A.4

Front

Find the Surface Area: A rectangular prism with dimensions 10 ft x 5 ft x 4 ft.

Back

130 ft²

Tags

CCSS.7.G.B.6

Front

Find the Surface Area: A triangular prism with a base area of 20 m² and a height of 10 m.

Back

200 m²

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a pyramid?

Back

SA = Base Area + (1/2 * Perimeter * Slant Height) for a square pyramid.

Tags

CCSS.7.G.B.6

Front

Find the Surface Area: A square pyramid with a base side of 6 in and a slant height of 10 in.

Back

36 in² + 30 in² = 66 in²

Tags

CCSS.7.G.B.6

Front

What is the total surface area of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

SA = 2πr(h + r) = 2π(3)(5 + 3) = 48π cm².

Front

Find the Surface Area: A cone with a radius of 4 cm and a height of 9 cm.

Back

SA = πr(r + l) where l = √(r² + h²) = 4π(4 + 8) = 48π cm².

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.