Chapter 12: Q3. (page 478)

Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 6 \\ w & 3 \\ h \\ L.A. \\ T.A. \\ V & 54 \end{matrix}$

Short Answer

Expert verified

$\begin{matrix} l & 6 \\ w & 3 \\ h & 3 \\ L.A. & 54 \\ T.A. & 90 \\ V & 54 \end{matrix}$

Step by step solution

Step 1. Given information.

The length and width of a rectangle are 6 and 3 respectively. And the volume is 54.

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.

Firstly, find the third dimension of the rectangle using the volume.

$\begin{matrix} 54 = 6 \times 3 \times h \\ 54 = 18 \times h \\ h = \frac{54}{18} \\ h = 3 unit \end{matrix}$

Now.

$\begin{matrix} L.A. = 2 (l + w) \times h \\ = 2 (6 + 3) \times 3 \\ = 2 (9) \times 3 \\ = 18 \times 3 \\ = 54 {unit}^{2} \end{matrix}$

And

$\begin{matrix} T.A. = 54 + 2 (6 \times 3) \\ = 54 + 2 (18) \\ = 54 +36 \\ = 90 {unit}^{2} \end{matrix}$

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Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 6 \\ w & 3 \\ h \\ L.A. \\ T.A. \\ V & 54 \end{matrix}$

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.l6w3hL.A.T.A.V54

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

Logic and Functions

Decision Maths

Geometry

Pure Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Refer to rectangular solids with dimensions l, w and h. Complete the following table.
$\begin{matrix} l & 6 \\ w & 3 \\ h \\ L.A. \\ T.A. \\ V & 54 \end{matrix}$