Intermediate Algebra (7th Edition)
Intermediate Algebra (7th Edition)
7th Edition
ISBN: 9780134196176
Author: Elayn Martin-Gay
Publisher: PEARSON
Question
Book Icon
Chapter A.3, Problem 1E
To determine

To find: The volume and surface area of the given solid cuboid.

Expert Solution & Answer
Check Mark

Answer to Problem 1E

Solution:

The volume of the solid cuboid is 72cuin and  the surface area of solid cuboid is 108sqin.

Explanation of Solution

Formula used:

Surface area of the cuboid: The formula to calculate the surface area of cuboid is,

Surfaceareaofcuboid=2lh+2lb+2bh ….... (1)

Where, l is the length of the cuboid, b is the width of the cuboid and h is the height of the cuboid.

Volume of a cuboid: The formula to calculate the volume of cuboid is,

VolumeofCuboid=lbh …… (2)

Where, l is the length of the cuboid, b is the width of the cuboid and h is the height of the cuboid.

Given:

The length of the given cuboid is 6in.

The breadth of the given cuboid is 4in.

The height of the given cuboid is 3in.

Calculation:

Substitute 6 for l, 4 for b and 3 for h in equation(1), to find the surface area of the cuboid.

Surfaceareaofcuboid=2(6)(3)+2(6)(4)+2(3)(4)=36+48+24=108sqin.

The surface area of the cuboid is 108sqin.

Substitute 6 for l, 4 for b and 3 for h in equation(2), to find the volume of the cuboid.

VolumeofCuboid=(6)(4)(3)=72cuin.

The volume of the cuboid is 72cuin.

Final Statement:

Thus, the volume of the cuboid is 72cuin. and the surface area of the solid cuboid is 108sqin..

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education