Answered

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A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume

Sagot :

samuelonum1

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

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