Answer:
I think it's the first one... but I'm not pretty sure.
You are correct my dad is a math expert!!
,\left[x \right] = \left[ \frac{-2}{3}+\frac{\left( -4\right) \,y}{3}+\frac{z}{3}\right][x]=[3−2+3(−4)y+3z]
\left[X \right] = \left[ 5+6\,y - 2\,z\right][X]=[5+6y−2z]
\left[x \right] = \left[ 2+\frac{3\,y}{2}+\frac{ - z}{2}\right][x]=[2+23y+2−z]
system by elimination
Based on the calculations, the volume of this pyramid is equal to: C. 324 cubic centimeters.
<h3>How to calculate the volume of a pyramid?</h3>
Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × base area × height
Next, we would determine the height of triangle ABC by using this formula:
Height = a × √3
Height = 6√3
Substituting the parameters into the formula for volume, we have;
Volume = 1/3 × 54√3 × 6√3
Volume = 1/3 × 972
Volume = 324 cm³.
Read more on pyramid here: brainly.com/question/16315790
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<u>Complete Question:</u>
A solid oblique pyramid has a regular hexagonal base with an area of 54√3 centimeters squared and an edge length of 6 centimeters. Point B is the ap-ex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle ABC is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid?
00.7 is the value
(It’s not allowing me to post cuz it’s short)