1
Spot cuboids and cubes
Identify box-like solids in daily-life situations.
Chapter route
Mensuration: Surface Area and Volume
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2
Find cuboid surface area
Use length, breadth and height to calculate total surface area.
3
Find cuboid volume
Calculate space occupied by a cuboid.
4
Cube as special cuboid
Understand how equal dimensions convert a cuboid into a cube.
5
Understand cylinders
Identify the circular bases and height of a cylinder.
6
Find cylinder curved area
Use circumference times height to calculate lateral surface area.
7
Find cylinder total area
Combine curved area with areas of two circular bases.
8
Find cylinder volume
Use base area times height for cylindrical volume.
9
Understand cones
Identify key measurements of a right circular cone.
10
Find cone curved area
Use radius and slant height to calculate lateral area.
11
Find cone total area
Add base area to curved surface area.
12
Find cone volume
Use one-third of corresponding cylinder volume.
13
Understand pyramids
Describe a pyramid using its base and apex.
14
Find pyramid surface area
Add base area and triangular side faces in simple cases.
15
Find pyramid volume
Use one-third of base area times height.
16
Spot spheres and hemispheres
Identify ball-like solids and half-spheres in daily life.
17
Find sphere surface area
Use radius to calculate area covering a sphere.
18
Find sphere volume
Use radius to calculate space occupied by a sphere.
19
Find hemisphere curved area
Use half of the surface area of a sphere.
20
Find hemisphere total area
Include both curved surface and circular base.
21
Find hemisphere volume
Use half of the volume of a sphere.
22
What changes when size changes?
Analyse how scaling dimensions affects area and volume.
23
Use solids in real life
Apply surface area and volume to storage, packaging and construction contexts.
24
Solve 3-D problems systematically
Identify the solid, list measurements, choose formula and check units.
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