george5244 george5244
  • 20-05-2023
  • Mathematics
contestada

a square pyramid has a volume of 480 cubic inches and a height of 10 inches. what is the perimeter of the base?

Respuesta :

mhanifa
mhanifa mhanifa
  • 20-05-2023

Answer:

  • 48 in

-------------------

The volume of a pyramid is 1/3 of the product of the base area and height.

  • V = Bh/3

Find the area of the base:

  • 480 = B*10/3
  • B = 480*3/10
  • B = 144

The base is the square, so each side is the square root of the base area:

  • a = √B
  • a = √144
  • a = 12

The perimeter of the base is:

  • P = 4a
  • P = 4(12)
  • P = 48
Answer Link
sauerka sauerka
  • 20-05-2023

Answer: 48 inches

Step-by-step explanation:

480*3=1440

1440/10=144

each side: 12

12*4=48 inches

Answer Link

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