Geometry Concepts and Formulas

This video tutorial covers basic geometry concepts, including two-dimensional shapes like parallelograms and triangles, and three-dimensional shapes such as prisms and pyramids. It explains how to calculate the perimeter and area of 2D shapes and the surface area and volume of 3D shapes. The video provides examples and practice worksheets to help viewers understand and apply these concepts.

Which of the following is a characteristic of a parallelogram?

• All sides are of different lengths

• Opposite sides are parallel and equal

• It has five sides

• All angles are acute

How do you calculate the perimeter of a rectangle?

• Add the length and width, then multiply by two

• Multiply the length by the height

• Multiply the length by the width

• Add all the side lengths together

What is the formula for the area of a parallelogram?

• Base times height

• Length plus width

• Length times width

• Base times height divided by two

How is the area of a triangle related to the area of a parallelogram?

• It is twice the area of a parallelogram

• It is half the area of a parallelogram

• It is unrelated to the area of a parallelogram

• It is the same as the area of a parallelogram

What must be true for a line to be considered the height of a triangle?

• It must be parallel to the base

• It must be perpendicular to the base

• It must be longer than the base

• It must be shorter than the base

What distinguishes a prism from a pyramid?

• Pyramids have no base

• Prisms have two parallel bases

• Pyramids have two bases

• Prisms have a pointy top

Which of the following is true about the surface area of a cube?

• It is twice the area of one face

• It is the product of its length, width, and height

• It is the sum of the areas of all its faces

• It is the same as its volume

How do you calculate the surface area of a rectangular prism?

• Add the areas of all its faces

• Multiply the area of one face by six

• Multiply the length by the width by the height

• Add the length, width, and height

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

• Length times width times height

• Length times height

• Length plus width plus height

• Length times width

If a rectangular prism has dimensions 2 inches by 3 inches by 4 inches, what is its volume?

• 12 cubic inches

• 6 cubic inches

• 48 cubic inches

• 24 cubic inches