Volume of Rectangular Prisms

This video tutorial covers the calculation of the volume of rectangular prisms. It begins with an introduction to the formula for volume and proceeds to solve various problems involving different dimensions and relationships. The tutorial also explores writing numeric expressions for volume and discusses proportional relationships in volume calculations. Key concepts include using the area of the base and height to determine volume, and understanding how changes in dimensions affect volume.

What is the formula for calculating the volume of a rectangular prism?

• Volume = Length + Width + Height

• Volume = Length x Width x Height

• Volume = Length x Width

• Volume = Width x Height

If a rectangular prism has dimensions 1 1/2 m, 1/2 m, and 7/8 m, what is its volume?

• 21/32 m³

• 21/8 m³

• 21/16 m³

• 21/4 m³

How do you calculate the volume of a rectangular prism if you know the area of the base and the height?

• Divide the area of the base by the height

• Add the area of the base to the height

• Multiply the area of the base by the height

• Subtract the height from the area of the base

A rectangular prism has a width of 3 cm, a length 3 1/2 times the width, and a height 1/4 of the width. What is its volume?

• 26 cm³

• 25 cm³

• 24 cm³

• 23 5/8 cm³

Which of the following is NOT a method to calculate the volume of a rectangular prism?

• Area of the base x Height

• None of the above

• Length x Width x Height

• Length + Width + Height

An aquarium has dimensions 50 cm, 25 1/2 cm, and 30 1/2 cm. What is its volume?

• 39,000 cm³

• 38,000 cm³

• 38,888.75 cm³

• 37,000 cm³

If the area of the base of a rectangular prism is fixed at 36 cm², how does the volume change as the height increases?

• The volume remains constant

• The volume decreases

• The volume doubles

• The volume increases

Given a volume of 16.328 cm³ and a height of 3.14 cm, what is the area of the base of the rectangular prism?

• 5.21 cm²

• 5.31 cm²

• 5.41 cm²

• 5.51 cm²