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Volume of square pyramid can be calculated by the formula :
V=
a is the length of base and h is the height of the pyramid.
In the given figure a= x in.and h = in.
Volume of pyramid given V =486 cubic inches.
Substituting these values in volume of pyramid we have:
486= ÷ 3
Or 486=
486=
Multiplying both sides by 12
5832 =
Or x= 18 in.
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )