Exploring Volume of Rectangular Prisms

The video tutorial introduces the concept of volume, focusing on rectangular prisms. It explains how volume is the space inside a 3D shape and provides the formula for calculating it: length times width times height. The tutorial includes examples with whole numbers and fractions, demonstrating how to convert mixed numbers to improper fractions for calculations. It concludes with a reminder to label answers correctly and offers additional help through a math club.

What does 'volume' refer to in geometry?

• The length of an object

• The surface area of an object

• The amount of space inside a 3D object

• The loudness of sound

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

• Length / Width / Height

• Length x Width x Height

• Length x Width

• Length + Width + Height

Tags

CCSS.7.G.B.6

Which dimensions are used to calculate the volume of a rectangular prism?

• Length, Width, and Depth

• Height, Depth, and Diameter

• Length, Width, and Height

• Radius, Circumference, and Height

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 6cm x 4cm x 4cm?

• 14 cm^3

• 24 cm^3

• 96 cm^3

• 64 cm^3

Tags

CCSS.7.G.B.6

How do you convert a mixed number to an improper fraction?

• Add the whole number to the numerator and keep the denominator the same

• Multiply the whole number by the denominator and subtract the numerator

• Multiply the whole number by the denominator and add the numerator

• Divide the numerator by the denominator and add the whole number

What is the result of multiplying 7/4 by 3/2 by 3/2?

• 63/16

• 42/16

• 21/4

• 21/8

Tags

CCSS.5.NF.B.6

What step is necessary when multiplying fractions for volume calculation?

• Converting to decimal form

• Converting mixed numbers to improper fractions

• Adding the fractions

• Dividing the fractions

Tags

CCSS.5.NF.B.6

How do you convert an improper fraction to a mixed number?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator to the denominator

What is the final step in calculating volume with fractions?

• Converting the result to a percentage

• Converting the improper fraction to a mixed number

• Multiplying the result by 100

• Simplifying the fraction

What is the volume of a rectangular prism with dimensions 1 3/4cm x 1 1/2cm x 1 1/2cm?

• 3 3/4 cm^3

• 4 1/4 cm^3

• 2 1/2 cm^3

• 3 15/16 cm^3