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Chapter 12: Q4. (page 478)

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

lw8h5L.A.T.A.V360

Short Answer

Expert verified

\begin{align} l & = 9\\w &= 8\\ h&=5\\L.A.&=170\\T.A. &= 314\\V&=360\end{align}

Step by step solution

01

Step 1. Given information.

The width and height of a rectangle are 8 and 5 respectively. And the volume is 360.

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.

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

360=l脳8脳5360=l脳40l=36040l=9鈥夆赌塽苍颈迟

Now.

L.A.=2(l+w)脳h=2(9+8)脳5=2(17)脳5=34脳5=170鈥夆赌塽苍颈迟2

And

T.A.=72+2(9脳8)=72+2(72)=72+144=216鈥夆赌塽苍颈迟2

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