Calculating Volumes of Rectangular and Triangular Prisms

The video tutorial explains how to calculate the volume of rectangular and triangular prisms. It begins with an introduction to the concept of volume, emphasizing the use of cube units. The tutorial then details the process of calculating the volume of rectangular prisms by multiplying the area of the base by the height. It also covers the calculation of triangular prism volume, using the formula for the area of a triangle as the base. The video includes example calculations to illustrate these concepts.

What does volume measure in a 3D object?

• The amount of space the object occupies

• The perimeter of the object

• The surface area of the object

• The weight of the object

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What units are used to measure volume?

• Linear units

• Square units

• Kilograms

• Cubic units

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Why do we use cubic units to measure volume?

• Because volume is a 2D measurement

• Because volume involves adding dimensions

• Because volume is measured in three dimensions

• Because volume is easier to calculate in cubic units

Tags

CCSS.7.G.B.6

How do you calculate the volume of a rectangular prism?

• Length + Width + Height

• Length x Width x Height

• Length / Width / Height

• 2(Length + Width + Height)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the capital 'B' stand for in the volume formulas?

• The area of the base

• The base's diameter

• The breadth of the base

• The base's perimeter

Tags

CCSS.7.G.B.6

What formula represents the area of the base in a triangular prism?

• 2(Base + Height)

• Base + Height

• Base x Height / 2

• Length x Width

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

In a triangular prism, what does the height represent?

• The altitude of the triangle

• The length of the base

• The perimeter of the triangle

• The distance between the two triangular bases

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 7 cm?

• 60 cm³

• 140 cm³

• 16 cm³

• 200 cm³

Tags

CCSS.7.G.B.6

How do you find the volume of a triangular prism with a base of 7, height of 3, and prism height of 10 (all in meters)?

• 30 m³

• 70 m³

• 105 m³

• 21 m³

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Why is it important to label your final answer with cubic units when calculating volume?

• All of the above

• To indicate the volume is measured in three dimensions

• To show that the calculation is complete

• To differentiate from area measurements

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4