Chapter 12: Q5. (page 478)

Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 5 x \\ w & 4 x \\ h & 3 x \\ L.A. \\ T.A. \\ V \end{matrix}$

Short Answer

Expert verified

\begin{align} l & = 5x\\w &= 4x\\ h&=3x\\L.A.&=54 x^2\\T.A. &= 94x^2\\V&=60x^3\end{align}

Step by step solution

Step 1. Given information.

The length, width and height of a rectangle are 5x, 4x and 3x respectively.

Step 2. Write the concept.

The lateral area of the rectangle is given by:

$L.A. = Perimeter \times Height$

The total area of the rectangle is given by:

$T.A. = L.A.+ 2 (Base)$

The volume of rectangle is given by:

$V = l \times w \times h$

Step 3. Determine the value.

Now, substitute all the given values in the formula.

$\begin{matrix} L.A. = 2 (l + w) \times h \\ = 2 (5 x + 4 x) \times 3 x \\ = 2 (9 x) \times 3 x \\ = 18 x \times 3 x \\ = 54 x^{2} {unit}^{2} \end{matrix}$

And

$\begin{matrix} T.A. = 54 x^{2} + 2 (5 x \times 4 x) \\ = 54 x^{2} + 2 (20 x^{2}) \\ = 54 x^{2} {+40x}^{2} \\ = 94 x^{2} {unit}^{2} \end{matrix}$

And the volume is

$\begin{matrix} V = 5 x \times 4 x \times 3 x \\ = 20 x^{2} \times 3 x \\ = 60 x^{3} {unit}^{3} \end{matrix}$

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Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 5 x \\ w & 4 x \\ h & 3 x \\ L.A. \\ T.A. \\ V \end{matrix}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the value.

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Refer to rectangular solids with dimensions l, w and h. Complete the following table.l5xw4xh3xL.A.T.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

Probability and Statistics

Statistics

Discrete Mathematics

Decision Maths

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 5 x \\ w & 4 x \\ h & 3 x \\ L.A. \\ T.A. \\ V \end{matrix}$