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bulgar [2K]
3 years ago
15

A pyramid has a square base and a height of 6 ft. The volume of the pyramid is 162 ft^3. Let s be the length of a side of the py

ramid's base.
A) In terms of s, the area of the base is ____________ .
B) The formula for the volume of a pyramid gives the equation ___________.
C) Solving this equation shows that s = __________
Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:

(a)s^2\\(b)162=2s^2\\(c)s=9$ ft

Step-by-step explanation:

(a)Base Area

Side length of square base=s

Area of a Square of side length s=s^2$ ft^2

(b)

  • Height =6 ft
  • Volume=162 $ ft^3.

Volume of a Pyramid=\frac{1}{3}X$Base Area X Height

Substituting the given values, we have:

162=\frac{1}{3}Xs^2 X 6\\\\162=2s^2

(c)Solving the equation derived from (b)

162=2s^2\\$Divide both sides by 2\\s^2=81\\s^2=9^2\\s=9$ ft

Solving this equation shows that s =9 ft.

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