If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyramid? a 12 cm b 27 cm c 14 cm d 22 cm

A

The volume (V) of a pyramid is found using the formula

V = × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = × 81 × h = 27h ( divide both sides by 27 )

h = = 12 → A

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

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