Volume Of Prisms And Pyramids: The formula for finding the volume of a prism and its units

The video tutorial explains the concepts of surface area and volume, focusing on three-dimensional objects like prisms. It introduces the general formula for calculating the volume of any prism, which is the area of the base multiplied by the height. The tutorial then delves into the specific case of rectangular prisms, providing a simple formula: length times width times height. The importance of units in volume measurement is also discussed, with examples like cubic centimeters and their real-life equivalents, such as sugar cubes.

What is the primary difference between surface area and volume?

• Surface area is always larger than volume.

• Surface area is the amount of paint needed to cover an object, while volume is the space it occupies.

• Surface area is for two-dimensional objects, while volume is for three-dimensional objects.

• Surface area measures the space inside an object, while volume measures the space outside.

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

• Length times width

• Base times height divided by two

• Area of the base times the height

• Length times width times height

In a rectangular prism, if the length is 5 cm, the width is 3 cm, and the height is 2 cm, what is the volume?

• 10 cubic centimeters

• 30 cubic centimeters

• 15 cubic centimeters

• 20 cubic centimeters

How do you calculate the volume of a rectangular prism?

• Add the length, width, and height

• Multiply the length, width, and height

• Subtract the width from the length and multiply by height

• Divide the length by the width and multiply by height

Which of the following is NOT a unit of volume?

• Cubic feet

• Square meters

• Cubic centimeters

• Cubic inches

What does a cubic centimeter represent?

• A cube with each side measuring 1 meter

• A cube with each side measuring 1 centimeter

• A square with each side measuring 1 centimeter

• A rectangle with each side measuring 1 centimeter

If a shoe box has a volume of 500 cubic centimeters, what does this mean?

• It can hold 500 liters of water.

• It has a surface area of 500 square centimeters.

• It weighs 500 grams.

• It can fit 500 sugar cubes of 1 cubic centimeter each.