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Chapter 12: Q5. (page 478)

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

l5xw4xh3xL.A.T.A.V

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

01

Step 1. Given information.

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

02

Step 2. Write the concept.

The lateral area of the rectangle is given by:

L.A.=Perimeter脳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脳w脳h

03

Step 3. Determine the value.

Now, substitute all the given values in the formula.

L.A.=2(l+w)脳h=2(5x+4x)脳3x=2(9x)脳3x=18x脳3x=54x2鈥夆赌塽苍颈迟2

And

T.A.=54x2+2(5x脳4x)=54x2+2(20x2)=54x2+40x2=94x2鈥夆赌塽苍颈迟2

And the volume is

V=5x脳4x脳3x=20x2脳3x=60x3鈥夆赌塽苍颈迟3

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