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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 314

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=253a = 253 feet, b=253b = 253 feet, and h=253h = 253 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 = 253  feet,  b = 253  feet, and  h = 253  feet.    A)  16,195,277 cubic feet B)  64,009 cubic feet C)  16,194,377 cubic feet D)  16,194,277 cubic feet


A) 16,195,277 cubic feet
B) 64,009 cubic feet
C) 16,194,377 cubic feet
D) 16,194,277 cubic feet

Correct Answer:

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