SOLUTION: 5: The base of a pyramid is a square with sides of length 4 cm. If the volume = 80 cm3, what is the height? ___ cm

Algebra ->  Polygons -> SOLUTION: 5: The base of a pyramid is a square with sides of length 4 cm. If the volume = 80 cm3, what is the height? ___ cm      Log On


   

Question 80610: 5: The base of a pyramid is a square with sides of length 4 cm. If the volume = 80 cm3, what is the height? ___ cm
Answer by zerosignal(28) About Me  (Show Source):
You can put this solution on YOUR website!
given: sides of pyramid base are 4cm, volume is 80cm%5E3
volume of a pyramid; v+=+%281%2F3%29%2Ah%2Aarea+of+base
area of the base; a+=+s%5E2

solve for base area:
a+=+4%5E2
a+=+16cm%5E2

solve for "h" using volume formula:
80+=+%281%2F3%29%2Ah%2A16
5+=+%281%2F3%29%2Ah
h+=+15cm