/*! 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} Problem 2 Concept Check In parts (a)-(c), ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 2

Concept Check In parts (a)-(c), choose one of the following words to make the statement true: linear, square, or cubic. (a) If the dimensions of a plane geometric figure are given in feet, then the area is given in _______ feet. (b) If the dimensions of a rectangle are given in yards, then the perimeter is given in _______ yards. (c) If the dimensions of a pyramid are given in meters, then the volume is given in _______ meters.

Short Answer

Expert verified
(a) square(b) linear(c) cubic

Step by step solution

01

Title - Understanding Geometric Dimensions

Start by understanding the dimensions involved in each case. Linear refers to one-dimensional measurements, square refers to two-dimensional measurements, and cubic refers to three-dimensional measurements.
02

Title - Analyzing Area

(a) For a geometric figure, the area involves two dimensions (length and width). Therefore, the area will be measured in square units. The correct word is 'square'.
03

Title - Analyzing Perimeter

(b) For a rectangle, the perimeter involves the sum of the linear dimensions of the sides. It is measured in linear units. The correct word is 'linear'.
04

Title - Analyzing Volume

(c) For a pyramid, the volume involves three dimensions (length, width, height). Hence, the volume will be measured in cubic units. The correct word is 'cubic'.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

linear measurements
Linear measurements refer to one-dimensional measurements such as length, width, or height. You can think of it as a straight line that has only length but no area or volume. When we talk about linear measurements, we use units like meters, feet, inches, or yards.
For example:
  • The length of a room measured in feet.
  • The height of a building in meters.
In the given exercise, the perimeter of a rectangle is considered a linear measurement because it is the sum of all side lengths. Whether it鈥檚 yards, meters, or another unit, it stays linear because we are only adding up one-dimensional lengths.
square measurements
Square measurements cover two dimensions: length and width. Think of this as an area measurement. Whenever we have something flat, like a floor or a piece of paper, we talk about square measurements. Common units are square meters, square feet, square inches, etc.
Here's how it is used:
  • The area of a rectangle, which is length multiplied by width, measured in square units.
  • The surface area of a table in square feet.
In the provided exercise, area measurements for a geometric figure (like a rectangle or square) in feet would be given in square feet since we are talking about the space inside the boundary.
cubic measurements
Cubic measurements encompass three dimensions: length, width, and height, which makes it a volume measurement. You can think of it as a measurement of space inside a 3-dimensional shape like a box, a pool, or a room. Units often used include cubic meters, cubic feet, and cubic inches.
Consider these examples:
  • The volume of a pyramid, measured in cubic meters.
  • The amount of water a swimming pool can hold, in cubic feet.
In the context of the exercise, the volume of a pyramid would be measured in cubic meters since it involves three dimensions and fills up a 3D space.

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

Write each phrase as a mathematical expression using x as the variable. See Sections \(1.3,1.5\) \(1.6,\) and 1.8 The quotient of \(-6\) and a nonzero number

Write an equation using the information given in the problem. Use \(x\) as the variable. Then solve the equation. If twice a number is divided by \(5,\) the result is \(4 .\) Find the number.

Solve equation, and check your solution \(9 x-3 x+x=-4\)

Solve each equation. $$ 0.10(7)+1.00 x=0.30(7+x) $$

Solve each problem. A store has 39 qt of milk, some in pint cartons and some in quart cartons. There are six times as many quart cartons as pint cartons. How many quart cartons are there? (Hint: \(1 \mathrm{qt}=2 \mathrm{pt})\)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

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.