Chapter 12: Q. 10 (page 478)

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$

Short Answer

Expert verified

$\begin{matrix} e & 4 \\ T . A . & 96 \\ V & 64 \end{matrix}$

Step by step solution

Step 1. Given information.

The volume of the cube is 64. That is $V = 64$ , $V = 64$

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.

Firstly, find the length of edge of the cube using volume.

$\begin{matrix} V = e^{3} \\ 64 = e^{3} \\ 4 \times 4 \times 4 = e^{3} \\ e = 4 unit \end{matrix}$

Then, the total area is given by:

$\begin{matrix} T.A. = 6 e^{2} \\ = 6 {(4)}^{2} \\ = 6 (16) \\ = 96 {unit}^{2} \end{matrix}$

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Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the value.

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Refer to cubes with edges of length e. Complete the following table.eT.A.V64eT.A.V64

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

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Decision Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$
$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$