Volume and Area of Solids

The video tutorial covers the concept of volume for prisms and cylinders. It begins with an introduction to volume as the number of cubic units a shape can hold. The tutorial explains the formula for calculating the volume of a prism, which is the product of the base area and height. Examples are provided for both triangular and rectangular prisms, demonstrating how to apply the formula. The video concludes with the volume of a cylinder, using the area of a circle as the base and multiplying by the height.

What is the volume of a three-dimensional figure?

• The number of cubes it can hold

• The number of rectangles it can hold

• The number of squares it can hold

• The number of spheres it can hold

Which formula is used to calculate the volume of a prism?

• Area of the base times the width

• Area of the base times the height

• Perimeter of the base times the height

• Perimeter of the base times the width

In a triangular prism, what is the formula for the area of the base?

• 1/2 times base times height

• Base times height

• Base minus height

• Base plus height

What is the volume of a triangular prism with a base area of 24 square feet and a height of 9 feet?

• 72 cubic feet

• 108 cubic feet

• 144 cubic feet

• 216 cubic feet

What shape is the base of a rectangular prism?

• Trapezoid

• Triangle

• Circle

• Rectangle

How do you calculate the volume of a rectangular prism with a base area of 20 square centimeters and a height of 11 centimeters?

• 220 cubic centimeters

• 200 cubic centimeters

• 240 cubic centimeters

• 210 cubic centimeters

What is the relationship between the volume of a cylinder and a prism?

• Prism volume is half the cylinder volume

• They have different formulas

• They have the same formula

• Cylinder volume is double the prism volume

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

• Base times height

• Length times width

• 2 times pi times radius

• Pi times radius squared

If the radius of a cylinder is 6 meters, what is the area of its base?

• 36 square meters

• 113.04 square meters

• 100 square meters

• 72 square meters

What is the volume of a cylinder with a base area of 113 square meters and a height of 11 meters?

• 1230 cubic meters

• 1240 cubic meters

• 1130 cubic meters

• 1243 cubic meters