Understanding Volume and Surface Area Calculations for Geometric Shapes
Learn about calculating volume and total surface area for different geometric shapes, including cuboids and cubes. Discover the formulas and concepts behind these measurements to enhance your understanding of 3-dimensional objects.
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Presentation Transcript
Volume is the amount of space occupied by any 3-dimensional object. 1cm 1cm 1cm Volume = base area x height = 1cm2 x 1cm = 1cm2
Cuboid Top Top Back Back Height (H) Side 2 Side 2 Side 1 Side 1 Front Front Bottom Bottom Breadth (B) Length (L)
The net L H H L H B B B B L H H H L B B L
Total surface Area L L H L H B B B B H H L H L H L L Total surface Area = L x H + B x H + L x H + B x H + L x B + L x B = 2 LxB + 2BxH + 2LxH = 2 ( LB + BH + LH )
Cube L L L Volume = Base area x height = L x L x L = L3 Total surface area = 2LxL + 2LxL + 2LxL = 6L2
Name Figure Volume Total surface area Sample net Cube L3 6L2 Cuboid LxBxH 2(LxB + BxH + LxH)
Show ends M- M+ 9 7 8 9 1 2 3 4 5 6 X % . + - = 0
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