Surface Area Formulas and Calculations

This video tutorial teaches students how to calculate the surface area of various solid figures, including cubes, rectangular prisms, triangular prisms, square pyramids, cylinders, cones, and spheres. Each section provides a step-by-step guide on using specific formulas to find the surface area of these shapes, with examples and calculations to illustrate the process.

What is the formula used to calculate the surface area of a cube?

• 8 times the side squared

• 2 times the side squared

• 6 times the side squared

• 4 times the side squared

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a rectangular prism?

• 2 times the width times the height

• 2 times the length times the height plus 2 times the length times the width plus 2 times the height times the width

• 2 times the length times the height plus 2 times the width times the height

• 2 times the length times the width

Tags

CCSS.7.G.B.6

What is the perimeter of the base of a triangular prism with sides 6m, 5m, and 3m?

• 12 meters

• 16 meters

• 18 meters

• 14 meters

Tags

CCSS.7.G.B.6

Which formula is used to find the surface area of a square pyramid?

• Base times height plus side squared

• 2 times base times height plus 2 times side squared

• 2 times base times height plus side squared

• Base times height plus 2 times side squared

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

• Pi r squared

• Pi r squared plus 2 pi r h

• 2 pi r h plus 2 pi r squared

• 2 pi r squared

How do you calculate the surface area of a cone?

• Pi r squared

• Pi r s

• Pi r squared plus pi r s

• 2 pi r squared

Tags

CCSS.HSG.GMD.A.1

What is the value of pi used in the calculations for the surface area of a cylinder?

• 3.14

• 3.20

• 3.00

• 3.50

What is the slant height of a cone if its surface area is calculated using a radius of 2 decimeters?

• 5 decimeters

• 6 decimeters

• 7 decimeters

• 8 decimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area formula for a sphere?

• 4 pi r

• 2 pi r squared

• Pi r squared

• 4 pi r squared

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a sphere has a radius of 12 cm, what is its surface area?

• 1808.64 square centimeters

• 1500 square centimeters

• 2000 square centimeters

• 1600 square centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3