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Volume of Rectangular Prisms Word Problems: Find Any Side

NY-6.EE.1

Exponent rules

auto-gen

Introduction to exponents

NY-6.EE.2

Evaluating algebraic expressions

NY-6.EE.3

Order of operations (PEMDAS)

NY-6.EE.4

Patterns

NY-6.EE.5

Express linear inequalities graphically and algebraically

Solving one - step equations:  x + a = b

NY-6.EE.6

Representing patterns in linear relations

NY-6.EE.7

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

NY-6.EE.8

Solving one-step linear inequalities

NY-6.EE.9

Reading linear relation graphs

Solving linear equations by graphing

Graphing linear relations

NY-6.G.1

Area and perimeter of rectangles

Classifying triangles

NY-6.G.2

Volume of rectangular prisms word problems

Volume of prisms

NY-6.G.4

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

NY-6.G.5

Squares and square roots

Introduction to volume

NY-6.NS.1

Dividing fractions and mixed numbers

Applications of fraction operations

NY-6.NS.2

Dividing multi-digit numbers

Dividing decimals

NY-6.NS.3

Adding and subtracting decimals

Multiplying decimals

NY-6.NS.4

Greatest common factors (GCF)

Least common multiple (LCM)

Introduction to transformations

NY-6.NS.5

Negative numbers and opposite numbers

Introduction to integer addition

Application of integer operations

NY-6.NS.6

Introduction to absolute value

Cartesian plane

NY-6.NS.7

Comparing and ordering numbers

NY-6.NS.8

Draw on coordinate planes

Horizontal and vertical distances

NY-6.RP.1

What is ratio?

Ratios

NY-6.RP.2

Converting among ratios, fractions and decimals

Rates

NY-6.RP.3

Proportions

Conversions between metric and imperial systems

Applications of percents

Rates with fractions

NY-6.SP.2

Median and mode

NY-6.SP.3

Mean

Range and outliers

NY-6.SP.4

Frequency tables and dot plots

Reading and drawing bar graphs

Reading and drawing histograms

Box-and-whisker plots and scatter plots

NY-6.SP.5

Advantages and disadvantages of different graphs

Critiquing data presentation

Application of averages

NY-6.SP.6

Introduction to probability

NY-6.SP.7

Comparing experimental and theoretical probability

NY-6.SP.8

Organizing outcomes

Probability of independent events

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