Volume and Area Formulas

The video tutorial by Mr. E covers the concept of volume and introduces two formulas: V = length x width x height and V = big B x little h. The tutorial explains the difference between big B and little b, where big B represents the base area of a 3D figure and little b represents the base of a 2D figure. Through visual examples and problem-solving exercises, students learn when to use each formula and how to calculate volume effectively. The tutorial emphasizes understanding the context of each problem to choose the appropriate formula.

What is the alternative formula for calculating volume introduced in the video?

• V = 2 × (length + width + height)

• V = length × width × height

• V = π × r² × h

• V = B × h

In the context of volume and area formulas, what does a capital B represent?

• The width of a figure

• The base of a 2D figure

• The base of a 3D figure

• The height of a figure

How do you calculate the base area of a 3D figure?

• By adding the length and the width

• By multiplying the length by the width

• By multiplying the length by the height

• By multiplying the height by the width

Which formula is more appropriate for finding the volume of a box with given length, width, and height?

• V = length × width × height

• V = π × r² × h

• V = 2 × (length + width + height)

• V = B × h

In the practice problem, what is the volume of the box with dimensions 9, 12, and 6?

• 648 square centimeters

• 648 cubic centimeters

• 648 square inches

• 648 cubic inches

What is the base area of a box if the base is 5 by 3?

• 15 cubic centimeters

• 15 cubic inches

• 15 square centimeters

• 15 square inches

How many layers are needed to fill a box if each layer has a base area of 15 square centimeters and the total volume is 90 cubic centimeters?

• 12 layers

• 3 layers

• 6 layers

• 9 layers

What is the volume of a cube with a side length of 5 centimeters?

• 25 cubic centimeters

• 150 cubic centimeters

• 50 cubic centimeters

• 125 cubic centimeters

Which formula is more appropriate for finding the volume of a box with a known base area and height?

• V = length × width × height

• V = B × h

• V = 2 × (length + width + height)

• V = π × r² × h

What is the volume of a box if the base area is 25 square centimeters and the height is 5 centimeters?

• 175 cubic centimeters

• 150 cubic centimeters

• 125 cubic centimeters

• 100 cubic centimeters