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Chapter 12: Areas and Volumes of Solids

Q1.

Page 478

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

l6w4h2L.A.T.A.V

Q1.

Page 484

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.

Q1.

Page 480

Accurately draw or construct a large equilateral triangle. Choose any point inside the triangle and carefully measure the distance x, y, z and h. Then findx+y+z.

Q1.

Page 485

Copy and complete the table below for the regular square pyramid.

Height, h4³§±ô²¹²Ô³Ù â¶Ä‰H±ð¾±²µ³ó³Ù, l5µþ²¹²õ±ð â¶Ä‰e»å²µ±ð³¢²¹³Ù±ð°ù²¹±ô â¶Ä‰e»å²µ±ð

Q1.

Page 477

Write the name of the following prism.

The prism is called a right ____ prims.

Q. 10

Page 478

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

eT.A.V64

eT.A.V64

Q10.

Page 477

Find the following.

a.Since 1 yd = 3 ft, 1 yd2 = __ ft2 and 1 yd3 = __ ft3

b.Since 1 ft = __ in, 1 ft2 = __ in2 and 1 ft3 = __ in3

c.Since 1 m = __ cm, 1 m2 = __ cm2 and 1 m3 = __ cm3

Q10.

Page 478

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

eT.A.V64

Q10.

Page 484

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

h=___

Q10.

Page 485

Sketch the following pyramid. Then find its lateral area.

A regular hexagonal pyramid with base edge 10 and lateral edge 13.

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