Lateral and Total surface area of prisms and pyramids

Front

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

Back

Total 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 rectangular prism?

Back

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

Tags

CCSS.7.G.B.6

Front

Define a prism.

Back

A prism is a solid shape with two identical bases connected by rectangular faces.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

What is a pyramid?

Back

A pyramid is a solid shape with a polygonal base and triangular faces that meet at a common point (the apex).

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

If a square base pyramid has a base side of 4 cm and a slant height of 5 cm, what is its lateral surface area?

Back

Lateral Surface Area = (1/2 x 4 x 5) = 10 cm².

Tags

CCSS.7.G.B.6

Front

Calculate the total surface area of a cube with a side length of 3 cm.

Back

Total Surface Area = 6s² = 6(3)² = 54 cm².

Tags

CCSS.6.G.A.4