If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
Vc = x³ ; 49 ft³ = x³ ; x = 49^(1/3)
The volume of the pyramid is,
Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³
Thus, the volume of the pyramid is approximately 16.33 ft³.
|x + 11| = 8
x + 11 = 8
<u> -11 -11</u>
x = -3
|3x - 2| = 16
3x + 2 = 16
<u> -2 -2</u>
<u>3x</u> = <u>14</u>
3 3
x = 4 2/3
18) answer is A: Reflect across the line y = -3. This is the horizontal line that cuts the trapezoid in half, forming a mirror image so to speak.
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19)
Answer is choice A) 2
CB/GF = CD/GH
6/3 = 4/GH
6*GH = 3*4
6*GH = 12
GH = 12/6
GH = 2
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