Calculating Volume of Prisms

This video tutorial covers the concept of volume for 3D figures, focusing on prisms. It explains the formulas for calculating the volume of rectangular and triangular prisms, highlighting the differences in their base area calculations. The tutorial includes two examples: one for a rectangular prism and another for a triangular prism, demonstrating the step-by-step process of finding their volumes.

What does the capital B in the volume formula represent?

• The height of the prism

• The perimeter of the base

• The area of the base

• The volume of the base

Tags

CCSS.7.G.B.6

How is the volume of a triangular prism different from a rectangular prism in terms of calculation?

• A different formula is used

• The base area is divided by 2

• The base area is not required

• It is calculated without considering the height

Tags

CCSS.7.G.B.6

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

• V = 2B + H

• V = BH

• V = B + H

• V = lwh

Tags

CCSS.7.G.B.6

Why is the base area divided by 2 in the calculation of a triangular prism's volume?

• It's a mistake in the formula

• Because the base is a triangle

• To simplify the calculation

• To double the volume

Tags

CCSS.7.G.B.6

What does the height (H) in the volume formula refer to?

• The depth of the prism

• The height of the prism

• The width of the prism

• The length of the base

Tags

CCSS.7.G.B.6

In the example of the rectangular prism, what is the area of the base?

• 14

• 98

• 49

• 7

Tags

CCSS.7.G.B.6

What is the volume of the rectangular prism example given in the video?

• 490 cubic feet

• 100 cubic feet

• 49 cubic feet

• 700 cubic feet

Tags

CCSS.7.G.B.6

For the triangular prism example, what base and height measurements are used to calculate the area of the base?

• 24 and 15

• 6 and 15

• 8 and 15

• 6 and 8

Tags

CCSS.7.G.B.6

What is the final step in calculating the volume of a triangular prism?

• Multiply the base area by the width

• Divide the base area by 2

• Multiply the base area by the height of the prism

• Add the base area to the height of the prism

Tags

CCSS.7.G.B.6

What is the volume of the triangular prism example given in the video?

• 24 cubic inches

• 48 cubic inches

• 720 cubic inches

• 360 cubic inches

Tags

CCSS.7.G.B.6