Calculating Volume of Triangular Prisms

This video tutorial explains how to find the volume of triangular prisms. It begins with an overview of the properties of triangular prisms, including their parallel and congruent triangular bases. The tutorial then provides a detailed explanation of the formula for calculating the volume, V = BH, where B is the area of the base. The video includes several examples to illustrate the process of finding the area of the triangular base and multiplying it by the height of the prism. The tutorial emphasizes the importance of correctly identifying and labeling the different heights involved in the calculations.

What shapes make up a triangular prism?

• Four triangles and one rectangle

• Two rectangles and three squares

• Two triangles and three rectangles

• Three triangles and two rectangles

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What formula is used to find the area of a triangle?

• Pi x Radius squared

• Length x Width

• Base x Height / 2

• Base x Height

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CCSS.6.G.A.1

Why is it important to distinguish between the height of the triangle and the height of the prism?

• To calculate the surface area of the base

• To calculate the volume accurately

• To find the weight of the prism

• To determine the color of the prism

Tags

CCSS.7.G.B.6

How do you calculate the volume of a triangular prism?

• 2 x (Base + Height)

• Base x Height of the triangle

• Length x Width x Height

• Area of the base x Height of the prism

Tags

CCSS.7.G.B.6

What is the volume of a triangular prism with a base area of 10 and a height of 9?

• 19 cubic units

• 45 cubic units

• 90 cubic units

• 100 cubic units

Tags

CCSS.7.G.B.6

What is the volume of a triangular prism with a base area of 10 and a height of 16?

• 26 cubic units

• 80 cubic units

• 160 cubic units

• 1600 cubic units

Tags

CCSS.7.G.B.6

What is the volume of a triangular prism with a base area of 54 and a height of 13?

• 130 cubic units

• 540 cubic units

• 67 cubic units

• 702 cubic units

Tags

CCSS.7.G.B.6

What is the volume of a triangular prism with a base area of 220 square millimeters and a height of 24 millimeters?

• 220 cubic millimeters

• 244 cubic millimeters

• 5280 cubic millimeters

• 480 cubic millimeters

Tags

CCSS.7.G.B.6

What is the difference in volume between two candy bars if one has a volume of 130 cubic centimeters and the other has a volume of 70 cubic centimeters?

• 60 cubic centimeters

• 200 cubic centimeters

• 70 cubic centimeters

• 130 cubic centimeters

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CCSS.3.MD.A.2

If the volume of a triangular prism is 60 cubic centimeters and the area of the base is 15 square centimeters, what is the height of the prism?

• 75 centimeters

• 60 centimeters

• 15 centimeters

• 4 centimeters

Tags

CCSS.7.G.B.6