○=> Correct answer :
[tex]\color{plum} = \tt\bold{30 \: cubic \: inches}[/tex]
○=> Steps to derive correct answer :
Given :
Area of base of a triangular pyramid = 9 inches
Length of height of triangular pyramid = 10 inches
We know that :
[tex]\tt \: \color{hotpink}volume\: of \: a \: triangular \: pyramid \color{plum}= \frac{1}{3} Bh[/tex]
Which means :
Volume of this triangular pyramid :
[tex] = \tt \frac{1}{3} \times 9 \times 10[/tex]
[tex] =\tt \frac{9 \times 10}{3} [/tex]
[tex] =\tt \frac{90}{3} [/tex]
[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]
Thus, the volume of this pyramid = 30 inches³
