Exploring the Volume of Prisms

This video tutorial covers the calculation of the volume of prisms, focusing on both rectangular and triangular bases. It explains the concept of volume as the space inside a three-dimensional figure, measured in cubic units. The tutorial provides step-by-step instructions for calculating the volume of rectangular prisms using the formula length × width × height, and for prisms with triangular bases by finding the area of the base and multiplying by the height. The video also includes application problems to demonstrate real-world scenarios and explains how to work backwards to find missing dimensions using given volume values.

What units are used to measure the volume of a 3D figure?

• Kilograms

• Linear units

• Cubic units

• Square units

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

How do you calculate the volume of a rectangular prism?

• Length + Width + Height

• (Base x Height) / 2

• Length x Width x Height

• Base x Height

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 9.5, 5, and 3 meters?

• 17.5 cubic meters

• 142.5 cubic meters

• 47.5 cubic meters

• 42.5 cubic meters

Tags

CCSS.7.G.B.6

For a right triangle with a base of 8 and a height of 6, what is the area of the base?

• 24 square units

• 48 square units

• 28 square units

• 14 square units

Tags

CCSS.6.G.A.1

What is the formula for the volume of a prism with a triangular base?

• Base x Height

• (Base x Height) / 2

• 1/2 x Base x Height of Triangle x Height of Prism

• (Base x Height) / 3

Tags

CCSS.7.G.B.6

If the base area of a prism is 7 times 3/2 and the height is 6, what is the volume?

• 126 cubic units

• 21 cubic units

• 63 cubic units

• 42 cubic units

Tags

CCSS.7.G.B.6

Which box has a larger volume, Box A or Box B?

• Cannot be determined

• Box A

• Box B

• Both have the same volume

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

If a customer buys 40 cubic yards of sand for a box that has a volume of 36 cubic feet, did they buy too much or too little?

• Too little

• Too much

• Exactly enough

• Cannot be determined

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

How do you find the height of a prism if you know its volume and the area of its base?

• Subtract the area of the base from the volume

• Multiply the volume by the area of the base

• Add the area of the base to the volume

• Divide the volume by the area of the base

Tags

CCSS.7.G.B.6

How do you determine the height of a prism when given the volume and the area of its base?

• Multiply the base area by the volume

• Divide the volume by the base area

• Add the base area to the volume

• Subtract the base area from the volume

Tags

CCSS.7.G.B.6