Chapter 12: Q12. (page 478)

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e & 2 x \\ T . A . \\ V \end{matrix}$

Short Answer

Expert verified

$\begin{matrix} e & 2 x \\ T . A . & 24 x^{2} \\ V & 8 x^{3} \end{matrix}$

Step by step solution

Step 1. Given information.

The length of the edge of the cube is 2x. That is, $e = 2 x$ .

Step 2. Write the concept.

The total area of the cube is given by:

$T.A. = 6 e^{2}$

The volume of rectangle is given by:

$V = e^{3}$

Step 3. Determine the value.

Now, substitute all the given values in the formula.

Then, the total area is given by:

$\begin{matrix} T.A. = 6 e^{2} \\ = 6 {(2 x)}^{2} \\ = 6 (4 x^{2}) \\ = 24 x^{2} {unit}^{2} \end{matrix}$

And the volume is

$\begin{matrix} V = e^{3} \\ = {(2 x)}^{3} \\ = 2 x \times 2 x \times 2 x \\ = 8 x^{3} {unit}^{3} \end{matrix}$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e & 2 x \\ T . A . \\ V \end{matrix}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Refer to cubes with edges of length e. Complete the following table.e2xT.A.V

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e & 2 x \\ T . A . \\ V \end{matrix}$