Digits, Grade 7, Volume 1, Homework Helper

5-6: Additional Problem Solving

Part 1

Example Using Surface Area and Volume to Solve Real-World Problems

The two cereal boxes have the shape of rectangular prisms. The company cares about its customers, so it wants the box to hold as much cereal as possible. The company also wants to help save the environment, so it wants to use the least amount of cardboard possible. Which box should the company choose to make? Explain.

Box A: length 10 in., width 4 ½ in., height 15 3/5 in. Box B: length 9 in., width 4 in., height 19 ½ in.

Solution

To find out how much cereal each box holds and how much material is needed to make each box, you will need to find the volume and surface area of each box.

The boxes are each rectangular prisms. Use the formula V = Bh.

table with 4 rows and 2 columns , row1 column 1 , cap volumeofcap boxcap a , column 2 cap volumeofcap boxcap b , row2 column 1 , v equals cap bh , column 2 v equals cap bh , row3 column 1 , equals . open . 10 middle dot 4 , and 1 fourth . close . open , 15 , and 3 fifths , close , column 2 equals open 9 middle dot 4 close . open , 19 , and 1 half , close , row4 column 1 , equals 702 , column 2 equals 702 , end table


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties