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Chapter 12: Q1. (page 478)

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

l6w4h2L.A.T.A.V

Short Answer

Expert verified

l6w4h2L.A.40T.A.88V48

Step by step solution

01

Step 1. Given information.

The length, width and height of a rectangle are 6, 4 and 2 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(6+4)脳2=2(10)脳2=20脳2=40鈥夆赌塽苍颈迟2

And

T.A.=40+2(6脳4)=40+2(24)=40+48=88鈥夆赌塽苍颈迟2

And the volume is

V=6脳4脳2=24脳2=48鈥夆赌塽苍颈迟3

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Most popular questions from this chapter

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.
  2. Use the formula in part (a) to show that V=13Bh.

Find the height and the volume of a regular hexagonal pyramid with lateral edges 10 ft and base edges 6 ft.

Refer to cubes with edges of length e. Complete the following table.

eeT.A.V

Find the following for the regular triangular pyramid.

  1. If BC = 6, find AM and AO.
  2. If BC = 6 and VA = 4, find h and l.

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

Volume=___
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