/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q31. The length of a rectangular soli... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q31. (page 480)

The length of a rectangular solid is twice the width, and the height is three times the width. If the volume is 162 cm3, find the total area of the solid.

Short Answer

Expert verified

The total area of the solid is198cm2 .

Step by step solution

01

Step 1. Given information.

The length of the rectangle solid is twice the width and the height is three times the width and the volume is 162cm3.

02

Step 2. Consider the variable.

Let the width of the rectangle is x,

Then, the length of the rectangle solid is2x and the height of rectangle solid is3x .

03

Step 3. Determine the total area.

Since, the volume of rectangle is162cm3 . So,

v=bh162=(2x脳x)(3x)[substitute]162=6x3[multiply]x3=27[divide]x=3[cuberoot]

Then, the total surface area is:

T.A.=L.A.+2B=(x+2x+x+2x)(3x)+2(x脳2x)[simplify]=18x2+4x2[multiply]=22x2[add]

Substitute the value of x.

T.A.=22(3)2[substitute]=198cm2[multiply]

Thus, the total area is198cm2 .

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Isosceles triangle with sides 13, 13, 10, h = 7.

All nine edges of right triangular prism are congruent. Find the length of these edges if the volume is543鈥夆赌塩尘3.

Can the height of a regular pyramid be greater than the slant height? Explain.

V-ABCDis a pyramid with a rectangular base 18 cm long and 10 cm wide. O is the center of the rectangle. The height, VO, of the pyramid is 12 cm.

a.Find VX and VY.

b.Find the lateral area of the pyramid.

Use trigonometry to find the volume of the regular pyramid below to the near cubic unit.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.