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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

Problem Set 3.3

For Problems 85-89, use geometry to solve the problems. (Objective 5)

A square piece of cardboard is 16 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open box. Find the polynomials that represent the volume and the outside surface area of the box.

To determine

To find:

Find the polynomials that represent the volume and the outside surface area of the box with the given dimensions.

Explanation

The figure below depicts a square piece of cardboard.

The side of the square sheet becomes 16-2x after a square piece of x cm is cut off from four corners of the square sheet. The height of the box is x cm.

The volume of a box, whose length, width, and height are l,w, and h respectively is:

V=lwh.

Therefore, the volume of the box, with length 16-2x, width 16-2x and height x is:

V=16-2x16-2xx

V=16-2x2x

Use the pattern a-b2=a2-2ab+b2 to expand 16-2x2.

16-2x2=162-2162x+2x2

16

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P-48CRSect-3.CR P-49CRSect-3.CR P-50CRSect-3.CR P-51CRSect-3.CR P-52CRSect-3.CR P-53CRSect-3.CR P-54CRSect-3.CR P-55CRSect-3.CR P-56CRSect-3.CR P-57CRSect-3.CR P-58CRSect-3.CR P-59CRSect-3.CR P-60CRSect-3.CR P-61CRSect-3.CR P-62CRSect-3.CR P-63CRSect-3.CR P-64CRSect-3.CR P-65CRSect-3.CR P-66CRSect-3.CR P-67CRSect-3.CR P-68CRSect-3.CR P-69CRSect-3.CR P-70CRSect-3.CR P-71CRSect-3.CR P-72CRSect-3.CR P-73CRSect-3.CR P-74CRSect-3.CR P-75CRSect-3.CR P-76CRSect-3.CR P-77CRSect-3.CR P-78CRSect-3.CR P-79CRSect-3.CR P-80CRSect-3.CR P-81CRSect-3.CR P-82CRSect-3.CR P-83CRSect-3.CR P-84CRSect-3.CR P-85CRSect-3.CR P-86CRSect-3.CR P-87CRSect-3.CR P-88CRSect-3.CR P-89CRSect-3.CR P-90CRSect-3.CR P-91CRSect-3.CR P-92CRSect-3.CR P-93CRSect-3.CR P-94CRSect-3.CR P-95CRSect-3.CR P-96CRSect-3.CR P-97CRSect-3.CR P-98CRSect-3.CR P-99CRSect-3.CR P-100CRSect-3.CR P-101CRSect-3.CR P-102CRSect-3.CR P-103CRSect-3.CR P-104CRSect-3.CR P-105CRSect-3.CR P-106CRSect-3.CR P-107CRSect-3.CR P-108CRSect-3.CR P-109CRSect-3.CR P-110CRSect-3.CR P-111CRSect-3.CR P-112CRSect-3.CR P-113CRSect-3.CR P-114CRSect-3.CT P-1CTSect-3.CT P-2CTSect-3.CT P-3CTSect-3.CT P-4CTSect-3.CT P-5CTSect-3.CT P-6CTSect-3.CT P-7CTSect-3.CT P-8CTSect-3.CT P-9CTSect-3.CT P-10CTSect-3.CT P-11CTSect-3.CT P-12CTSect-3.CT P-13CTSect-3.CT P-14CTSect-3.CT P-15CTSect-3.CT P-16CTSect-3.CT P-17CTSect-3.CT P-18CTSect-3.CT P-19CTSect-3.CT P-20CTSect-3.CT P-21CTSect-3.CT P-22CTSect-3.CT P-23CTSect-3.CT P-24CTSect-3.CT P-25CT

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