Calculating Volume of Rectangular Prisms with Mixed Numbers

This tutorial explains how to calculate the volume of a rectangular prism, especially when dimensions are given as mixed numbers. It covers the conversion of mixed numbers to improper fractions, the process of multiplying these fractions, and simplifying the results. Two examples are provided to illustrate the method, including steps for checking and canceling common factors to simplify calculations.

What is the first step in finding the volume of a rectangular prism with mixed number dimensions?

• Convert mixed numbers to improper fractions

• Divide the mixed numbers by the height

• Multiply length by width by height directly

• Convert mixed numbers to whole numbers

What does multiplying the dimensions of the base (length and width) of a rectangular prism give you?

• The perimeter

• The volume

• The area of the base

• The height

Tags

CCSS.7.G.B.6

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

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

• Add the numerator to the denominator

• Subtract the numerator from the whole number

• Divide the whole number by the numerator

In the process of simplification, what should you do if you find a common factor in the numerator and denominator?

• Multiply them

• Subtract them

• Add them

• Divide them

Tags

CCSS.6.EE.A.1

What is the significance of converting mixed numbers to improper fractions in volume calculation?

• It is only for subtraction

• It simplifies multiplication

• It is necessary for division

• It simplifies addition

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Why is it important to check for cancellation when multiplying fractions?

• To decrease the denominator

• To increase the numerator

• To change the fraction to a whole number

• To simplify the calculation

Tags

CCSS.5.NF.B.6

How do you handle a whole number when converting it for multiplication with fractions?

• Leave it as is

• Multiply it by the numerator of the fraction

• Convert it to a fraction by using 1 as the denominator

• Divide it by the denominator of the fraction

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the volume of the first example rectangular prism?

• 56 cubic inches

• 24 cubic inches

• 32 cubic inches

• 48 cubic inches

Tags

CCSS.7.G.B.6

After simplifying the fractions, what is the next step in finding the volume?

• Add the numerators

• Multiply the remaining numerators

• Divide the numerators by the denominators

• Subtract the denominators

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

What is the volume of the second example rectangular prism?

• 32 cubic inches

• 48 cubic inches

• 56 cubic inches

• 24 cubic inches

Tags

CCSS.7.G.B.6