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Surface area and volume
1.
2. • Here’s a quick recap of what are plane figures and solid figures.
• Figures that can be drawn easily on a plane surface such as blackboard or
notebook are said to be Plane Figures. Some of these figures include
Rectangles, Square, Triangles and the list goes on...
• Figures formed when more than one plane figures are complied over each
other in such a manner that they form a three dimensional figures which
includes Length, Breadth and Height. Some of these figures include cube,
cuboid and many more.
• Major difference between them is this that plane figures only have Area
Perimeter but Solid figures have Area as well as, Volume.
• We are going to talk about Solid figures only.
3.
This is what a cuboid looks like
It has got three sides (Three Dimensional Figure)
l=length, b=breadth, h=height
Lets talk about its area.
A three dimensional figures has got two kind of areas
i.
Total surface area (T.S.A)
ii.
Lateral surface area (L.S.A)
4. A cuboid has 6 rectangles in it, which means area of all
6 rectangles = area of a cuboid.
Hence total surface area = area of rectangle= 6(b*h)
2(lb)+2(bh)+2(lh)
2(lb+bh+hl)
Cuboid
Lateral surface includes the area of 4 faces instead of 6
faces
hence, lateral surface area = 2(lh+2(bh) or 2(l+b)h
9. VOLUME OF SOLID FIGURES
• Volume is just the measure of the space occupied.
• The figures which were discussed earlier we are going to discuss about them only but this time
how to find their holding capacity.
• Lets start off with cuboid.
• The area of plane region occupied by each rectangle*height = measure of space occupied by
cuboid.
• So we get A*h= V or volume= l*b*h
• Next on line is cube.
• Volume of cube= edge*edge*edge = a^3
• NOTE: FIGURES SUCH AS CUBOID AND CUBE HAS THE VOLUME = LENGTH*BREADTH*HEIGHT
