○=> Correct answer :
![\color{plum} = \tt\bold{30 \: cubic \: inches}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ujfpw291hyq20mg7r9a8my8x6jfe6kjwja.png)
○=> 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 :
![\tt \: \color{hotpink}volume\: of \: a \: triangular \: pyramid \color{plum}= (1)/(3) Bh](https://img.qammunity.org/2022/formulas/mathematics/high-school/q609zgdn0lih1rum4sjfel55mk6wu2mn8h.png)
Which means :
Volume of this triangular pyramid :
![= \tt (1)/(3) * 9 * 10](https://img.qammunity.org/2022/formulas/mathematics/high-school/bxbxi4lghis91zr5mmuzztd4jqkbe4r4dg.png)
![=\tt (9 * 10)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1838mvtkhv91zpmb2bdi3597sb1yf49msg.png)
![=\tt (90)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/j7u94l7197oowzac6bvw2g4iage96w6enk.png)
![\color{plum} =\tt 30 \: {inches}^(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/e9ynbsgus19iw6dpfzvxcduiz110k7eb5q.png)
Thus, the volume of this pyramid = 30 inches³