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Burka [1]
2 years ago
12

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet

Mathematics
2 answers:
sergey [27]2 years ago
6 0

The volume of a square pyramid is found by multiplying the area of the base by the height divided by 3.

32 = 4^2 x h/3

32 = 16 x h/3

Multiply both sides by 3

96 = 16 x h

Divide both sides by 16

H = 96/16

H = 6

The height is 6 feet

pav-90 [236]2 years ago
3 0

Answer:

6 ft

Step-by-step explanation:

Volume of the pyramid:

  • V= lwh/3, where l- base length, w- base width, h- height

<u>Given</u>

  • V= 32 ft³
  • l=w= 4 ft
  • h=?

<u>Then, as per formula, we can solve it for h:</u>

  • 32= 4×4×h/3
  • h= 32×3/16
  • h= 6 ft

<u>Height of the pyramid is </u><u>6 ft</u>

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