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Chapter 12: Q3. (page 478)

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

l6w3hL.A.T.A.V54

Short Answer

Expert verified

l6w3h3L.A.54T.A.90V54

Step by step solution

01

Step 1. Given information.

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

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.

54=6脳3脳h54=18脳hh=5418h=3鈥夆赌塽苍颈迟

Now.

L.A.=2(l+w)脳h=2(6+3)脳3=2(9)脳3=18脳3=54鈥夆赌塽苍颈迟2

And

T.A.=54+2(6脳3)=54+2(18)=54+36=90鈥夆赌塽苍颈迟2

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