Chapter 12: Q9. (page 478)

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 1000 \end{matrix}$

Short Answer

Expert verified

$\begin{matrix} e & 10 \\ T . A . & 600 \\ V & 1000 \end{matrix}$

Step by step solution

Step 1. Given information.

The volume of the cube is 1000. That is, $V = 1000$ .

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.

$\begin{matrix} V = e^{3} \\ 1000 = e^{3} \\ 10 \times 10 \times 10 = e^{3} \\ e = 10 unit \end{matrix}$

Then, the total area is given by:

$\begin{matrix} T.A. = 6 e^{2} \\ = 6 {(10)}^{2} \\ = 6 (100) \\ = 600 {unit}^{2} \end{matrix}$

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Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 1000 \end{matrix}$

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.V1000

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

Statistics

Probability and Statistics

Decision Maths

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Refer to cubes with edges of length e. Complete the following table.
$\begin{matrix} e \\ T . A . \\ V & 1000 \end{matrix}$