Chapter 9.1, Problem 24E

BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

1 views

For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than the width of the base and the lateral area
^{2}, find the dimensions of the box.

To determine

**To find:**

The dimensions of the box.

Explanation

The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.

The lateral area

Here,

**Calculation:**

Given,

The height of the box

The length is 2 m greater than the width and lateral surface area is 96 m^{2}

Let â€˜

Thus, we have the dimensions of the box as

The lateral surface area of a prism with rectangular base (cuboid) is given by the formula

Here, â€˜

First let us find the perimeter of the base (Rectangular) of the cuboid box.

Now, substitute

Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E

Sect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-34ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.1 P-39ESect-9.1 P-40ESect-9.1 P-41ESect-9.1 P-42ESect-9.1 P-43ESect-9.1 P-44ESect-9.1 P-45ESect-9.1 P-46ESect-9.1 P-47ESect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.2 P-40ESect-9.2 P-41ESect-9.2 P-42ESect-9.2 P-43ESect-9.2 P-44ESect-9.2 P-45ESect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.4 P-1ESect-9.4 P-2ESect-9.4 P-3ESect-9.4 P-4ESect-9.4 P-5ESect-9.4 P-6ESect-9.4 P-7ESect-9.4 P-8ESect-9.4 P-9ESect-9.4 P-10ESect-9.4 P-11ESect-9.4 P-12ESect-9.4 P-13ESect-9.4 P-14ESect-9.4 P-15ESect-9.4 P-16ESect-9.4 P-17ESect-9.4 P-18ESect-9.4 P-19ESect-9.4 P-20ESect-9.4 P-21ESect-9.4 P-22ESect-9.4 P-23ESect-9.4 P-24ESect-9.4 P-25ESect-9.4 P-27ESect-9.4 P-28ESect-9.4 P-29ESect-9.4 P-30ESect-9.4 P-31ESect-9.4 P-32ESect-9.4 P-33ESect-9.4 P-34ESect-9.4 P-35ESect-9.4 P-36ESect-9.4 P-37ESect-9.4 P-38ESect-9.4 P-39ESect-9.4 P-40ESect-9.4 P-41ESect-9.4 P-42ESect-9.4 P-43ESect-9.4 P-44ESect-9.4 P-45ESect-9.4 P-46ESect-9.4 P-47ESect-9.4 P-48ESect-9.4 P-49ESect-9.4 P-50ESect-9.CR P-1CRSect-9.CR P-2CRSect-9.CR P-3CRSect-9.CR P-4CRSect-9.CR P-5CRSect-9.CR P-6CRSect-9.CR P-7CRSect-9.CR P-8CRSect-9.CR P-9CRSect-9.CR P-10CRSect-9.CR P-11CRSect-9.CR P-12CRSect-9.CR P-13CRSect-9.CR P-14CRSect-9.CR P-15CRSect-9.CR P-16CRSect-9.CR P-17CRSect-9.CR P-18CRSect-9.CR P-19CRSect-9.CR P-20CRSect-9.CR P-21CRSect-9.CR P-22CRSect-9.CR P-23CRSect-9.CR P-24CRSect-9.CR P-25CRSect-9.CR P-26CRSect-9.CR P-27CRSect-9.CR P-28CRSect-9.CR P-29CRSect-9.CR P-30CRSect-9.CR P-31CRSect-9.CR P-32CRSect-9.CT P-1CTSect-9.CT P-2CTSect-9.CT P-3CTSect-9.CT P-4CTSect-9.CT P-5CTSect-9.CT P-6CTSect-9.CT P-7CTSect-9.CT P-8CTSect-9.CT P-9CTSect-9.CT P-10CTSect-9.CT P-11CTSect-9.CT P-12CTSect-9.CT P-13CTSect-9.CT P-14CTSect-9.CT P-15CTSect-9.CT P-16CT

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Probability and Statistics for Engineering and the Sciences

Single Variable Calculus

Calculus (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Elementary Technical Mathematics

Applied Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Multivariable Calculus

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendentals

Finite Mathematics

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Mathematical Excursions (MindTap Course List)

Intermediate Algebra

Single Variable Calculus: Early Transcendentals, Volume I

Essentials Of Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus of a Single Variable

Elements Of Modern Algebra

Contemporary Mathematics for Business & Consumers

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Mathematics For Machine Technology

Study Guide for Stewart's Multivariable Calculus, 8th

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Calculus (MindTap Course List)

Multivariable Calculus

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

Introduction To Statistics And Data Analysis

College Algebra (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)