○=> Correct answer :
[tex]\color{plum} = \tt\bold{30 \: cubic \: inches}[/tex]
○=> Steps to derive correct answer :
Given :
Base area of Ms. Jones decorative pyramid = 6 inches²
Height of the decorative pyramid = 15 inches
We know that :
[tex]\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: = \frac{1}{3}Bh [/tex]
Volume of the decorative pyramid :
[tex] =\tt \frac{1}{3} \times 15 \times 6[/tex]
[tex] =\tt \frac{15 \times 6}{3} [/tex]
[tex] =\tt \frac{90}{3} [/tex]
[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]
Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³
