Volume and Properties of Prisms

The video tutorial covers solid geometry, focusing on calculating the volume of a triangular prism and a cube. It begins with an introduction to different 3D shapes, such as triangular prisms and pyramids. The tutorial then provides a step-by-step guide to finding the volume of a triangular prism using its base, height, and length. Finally, it explains how to calculate the volume of a cube by multiplying the length of its sides.

What is a characteristic feature of a triangular prism?

• It has a circular base.

• It is made entirely of squares.

• It has a hexagonal base.

• It has two triangular faces and rectangular sides.

Which of the following is NOT a type of three-dimensional figure involving triangles?

• Cylindrical prism

• Triangular pyramid

• Rectangular pyramid

• Triangular prism

How do you calculate the volume of a triangular prism?

• Base area times height

• 1/2 times base times height times length

• Base times height times width

• Length times width times height

If the base of a triangle is 7 and the height is 3, what is the area of the triangle?

• 14

• 21

• 42

• 10.5

What is the volume of a triangular prism with a base area of 10.5 and a length of 4?

• 21

• 84

• 42

• 52

What is the side length of a cube if its volume is 27?

• 4

• 3

• 5

• 2

How do you calculate the volume of a cube?

• 1/2 times base times height

• Base area times height

• Side length cubed

• Length times width times height

What is the volume of a cube with a side length of 3?

• 36

• 27

• 18

• 9

What does it mean to 'cube' a number?

• Multiply the number by itself three times

• Multiply the number by itself twice

• Add the number to itself three times

• Multiply the number by 2

Why is the term 'cubed' used when referring to raising a number to the third power?

• Because it involves three operations

• Because it represents the volume of a cube

• Because it is a common mathematical term

• Because it is a three-step process