Question #db9ce

1 Answer
bp
Nov 12, 2015

Surface area 471 sq inches. Volume 962 cu inches

Explanation:

Radius of circumsphere of a regular tetrahedron isgiven by the formula R= #sqrt6 (a/4)# where 'a' is the edge of the sphere. In thia case a=10, hence R=#sqrt6 *(2.5)#

Surface area formula for a sphere is #4pi r^2# =#4*3.14*6*(2.5)^2# = 471 sq inches.

Volume formula is #4/3 pir^3 #

=#4/3 *3.14.6sqrt6 (2.5)^3 # = 962 cubic inches (round figure to nearest whole number)

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