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6. A square based pyramid is placed on a square based prism with the samebase 14 cm. If the height of the priam to 9 cm and height of the pyramid is7 cm, find the total surface area of the solid obtained by joining them. |
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Answer» Step-by-step explanation: TSA of solid = TSA square base pyramid + TSA of prism TSA of pyramid = 4× 1
×AE×CD+(14) 2
= (2×7 2
×14)+196 = 196( 2
+1)CM 2
= 472.36cm 2
TSA of Prism =LSA+2(areaofbase) = (Perimeter of base × H) + 2(14) 2
= (4×14×9)+392 = 504+392=896cm 2
∴ TSA of solid =472.36+896 = 1368.36cm 2
solution |
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