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Provide an Appropriate Response V=13h(a2+ab+b2)V = \frac { 1 } { 3 } h \left( a ^ { 2 } + a b + b ^ { 2 } \right)

Question 470

Multiple Choice

Provide an appropriate response.
-The formula used to find the volume of the frustum of a square pyramid is V=13h(a2+ab+b2) V = \frac { 1 } { 3 } h \left( a ^ { 2 } + a b + b ^ { 2 } \right) , where bb is the length of the base, aa is the length of the top, and hh is the height. Try to visualize the figure if a=b=ha = b = h . Calculate the volume if a=261a = 261 feet, b=261b = 261 feet, and h=261h = 261 feet.
 Provide an appropriate response. -The formula used to find the volume of the frustum of a square pyramid is  V = \frac { 1 } { 3 } h \left( a ^ { 2 } + a b + b ^ { 2 } \right)  , where  b  is the length of the base,  a  is the length of the top, and  h  is the height. Try to visualize the figure if  a = b = h . Calculate the volume if  a = 261  feet,  b = 261  feet, and  h = 261  feet.    A)   17,779,681  cubic feet B)   17,779,581  cubic feet C)  68,121 cubic feet D)   17,780,581  cubic feet


A) 17,779,68117,779,681 cubic feet
B) 17,779,58117,779,581 cubic feet
C) 68,121 cubic feet
D) 17,780,58117,780,581 cubic feet

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