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Volume of Rectangular Prisms Word Problems: Find Any Side

MA.6.AR.1.1

Mental math word problems

Evaluating algebraic expressions

auto-gen

MA.6.AR.1.2

Express linear inequalities graphically and algebraically

MA.6.AR.1.3

Order of operations (PEMDAS)

MA.6.AR.1.4

Equivalent expressions

Patterns

MA.6.AR.2.2

Solving linear equations using multiplication and division

Solving one - step equations:  x + a = b

MA.6.AR.2.3

Solving one-step linear inequalities

Model and solve one-step linear equations: ax = b, x/a = b

MA.6.AR.2.4

Multiplication statements

Solving two-step linear equations using addition and subtraction: ax + b = c

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

MA.6.AR.3.1

Ratios

Turnarounds

MA.6.AR.3.2

Rates

Rates with fractions

MA.6.AR.3.3

Proportions

MA.6.AR.3.4

Applications of percents

MA.6.AR.3.5

Applications of ratios

MA.6.DP.1.1

Influencing factors in data collection

MA.6.DP.1.2

Creating graphs

Median and mode

Mean

Range and outliers

MA.6.DP.1.3

Box-and-whisker plots and scatter plots

MA.6.DP.1.4

Frequency tables and dot plots

Reading and drawing histograms

Reading and drawing line graphs

MA.6.DP.1.6

Application of averages

MA.6.GR.1.1

Location in a grid

Draw on coordinate planes

MA.6.GR.1.2

Horizontal and vertical distances

MA.6.GR.1.3

Cartesian plane

Introduction to transformations

MA.6.GR.2.1

Area and perimeter of triangles

Parallel and perpendicular line segments

MA.6.GR.2.2

Area and perimeter of rectangles

Area and perimeter of parallelograms

Perpendicular bisectors

MA.6.GR.2.3

Volume of rectangular prisms word problems

Volume of prisms

MA.6.GR.2.4

Surface area of prisms

MA.6.NSO.1.1

Matching place value models to numbers

Place value

Comparing and ordering numbers

MA.6.NSO.1.2

Adding with Digits Up to 1000

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

MA.6.NSO.1.3

Introduction to absolute value

Application of integer operations

MA.6.NSO.1.4

Applications of integer operations

MA.6.NSO.2.1

Multiplying with digits up to 99

Multiplying decimals

Dividing decimals

MA.6.NSO.2.2

Sharing & partition up to 10

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Fractions: Multiplying proper fractions

Multiplying improper fractions and mixed numbers

Dividing fractions and mixed numbers

MA.6.NSO.2.3

Addition word problems up to 100

Applications of fraction operations

MA.6.NSO.3.1

Using mental math to add up to 20

Greatest common factors (GCF)

Least common multiple (LCM)

MA.6.NSO.3.2

Prime factorization

Determining common factors

MA.6.NSO.3.3

Exponent rules

Introduction to exponents

MA.6.NSO.3.5

Converting repeating decimals to fractions

Converting between decimals, fractions, and percents

MA.6.NSO.4.1

Adding digits up to 100

MA.6.NSO.4.2

Multiplying integers

Dividing integers

Assignments

Challenge Zone

Foundation Review

6th Grade Math

math

Intro.

Ex 2.

Ex 1.

Ex 3.

Ex 4.

This lesson shows how to translate real-world scenarios, like boxes, tanks, and pools, into the volume formula for rectangular prisms, solve for a missing dimension, and keep units consistent throughout the problem.

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Overview

Volume of Rectangular Prisms Word Problems

What You'll Learn

Identify the length, width, and height described in a word problem before writing any equation.

Apply the formula \( V = lwh \) to find total cubic units.

Solve for a missing dimension by dividing the given volume by the product of the other two sides.

Convert all measurements to the same unit before multiplying, especially in real-world scenarios.

Distinguish volume problems from surface area problems so you apply the correct formula.

Label every final answer with cubic units since volume measures three-dimensional space.

This Unit Includes

9 Video lessons

Learning resources