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Chapter 12: Q6. (page 478)

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

l9wh2L.A.60T.A.V

Short Answer

Expert verified

l9w6h2L.A.60T.A.168V108

Step by step solution

01

Step 1. Given information.

The length and height of a rectangle are 9 and 2 respectively. And the lateral area is 60.

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 lateral area.

L.A.=2(l+w)脳h60=2(9+w)脳2602=(18+2w)30=18+2w

Then,

30鈭�18=2ww=122=6鈥夆赌塽苍颈迟

Now,

T.A.=60+2(9脳6)=60+2(54)=60+108=168鈥夆赌塽苍颈迟2

And the volume is:

V=l脳w脳h=9脳6脳2=54脳2=108鈥夆赌塽苍颈迟3

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Most popular questions from this chapter

V- ABCD is a regular square pyramid. Find the following numerical answers.

VC=___

The diagonals of a cube intersect to divide the cube into six congruent pyramids. Thatbase of each pyramid is a face of the cube, and height of each pyramid is 12e.

  1. Use the formula for the volume of a cube to explain why the volume of each pyramid is V=16e3.
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A pyramid has a base area of 16 cm2 and a volume of 32 cm2. Find its height.

Use trigonometry to find the volume of the regular pyramid below to the near cubic unit.

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