Lateral and Total Surface Area

Front

What is Lateral Surface Area?

Back

The Lateral Surface Area of a solid is the area of all the sides of the solid, excluding the top and bottom surfaces.

Tags

CCSS.7.G.B.6

Front

How do you calculate the Lateral Surface Area of a Cylinder?

Back

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

Front

What is Total Surface Area?

Back

Total Surface Area is the sum of the Lateral Surface Area and the area of the top and bottom surfaces of a solid.

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 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

What is the formula for the Total Surface Area of a Rectangular Prism?

Back

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

Tags

CCSS.7.G.B.6

Front

How do you find the Lateral Surface Area of a Triangular Prism?

Back

Lateral Surface Area = (Perimeter of the base) × height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the formula for the Total Surface Area of a Triangular Prism?

Back

Total Surface Area = Lateral Surface Area + 2 × Area of the base.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cylinder with a radius of 3 cm and height of 10 cm?

Back

Lateral Surface Area = 2π(3)(10) = 60π ≈ 188.4 cm².

Front

What is the surface area of a triangular prism with a base area of 24 cm², height of 10 cm, and perimeter of the base 30 cm?

Back

Lateral Surface Area = 30 × 10 = 300 cm²; Total Surface Area = 300 + 2 × 24 = 348 cm².

Tags

CCSS.7.G.B.6