Volume and Surface Area Formulas

The video tutorial covers the calculation of surface area and volume for various geometric shapes, including rectangles, pyramids, cylinders, triangular prisms, cones, and trapezoidal prisms. It provides step-by-step instructions on using formulas and the Pythagorean theorem to find missing dimensions, ensuring students understand the process of solving these geometry problems.

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

• lw + lh + wh + 2

• 2(lw + lh + wh)

• lw + lh + wh

• 2lw + 2lh + 2wh

How do you calculate the volume of a rectangular prism?

• Length + Width + Height

• 2(Length + Width + Height)

• Length x Width x Height

• Length x Width + Height

What is the base area of a pyramid with a square base of side 28?

• 28

• 784

• 56

• 112

How do you find the slant height of a pyramid?

• By halving the perimeter

• Using the Pythagorean theorem

• By measuring the base

• By doubling the height

What is the formula for the volume of a pyramid?

• 1/2 x Base x Height

• 1/3 x Base x Height

• Base x Height

• Base + Height

What is the surface area formula for a cylinder?

• 2πr² + 2πrh

• πr² + 2πrh

• πr² + πrh

• 2πr² + πrh

How do you calculate the volume of a cylinder?

• πr²h

• 2πr²h

• πrh

• 2πrh

What is the base area of a triangular prism with a base of 11.4 and height of 15.2?

• 45.6

• 172.28

• 22.8

• 86.64

How do you find the perimeter of the base of a triangular prism?

• Add all the sides of the base

• Multiply all sides of the base

• Multiply the base by the height

• Add the base and height

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

• πr² + πrl

• 2πr² + 2πrl

• 2πr² + πrl

• πr² + 2πrl