Answer:
The volume of a pyramid is
![2406.16 cm^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3cawtgc78o4z6nx0ih1k0lcdqgjl740usf.png)
Step-by-step explanation:
We know that volume of a square based pyramid is given by the formula,
![\mathrm{V}=\mathrm{a}^(2) (h)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/asrxrgt7pxuhuowiuq3a2c8n3tyculxzz3.png)
where V = Volume
a = base length = 17.2cm (given)
And h = height of the pyramid = 24.4cm
So,
![V=17.2^(2) (24.4)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w6i9j4hgisr7o8htemegqjaaytedwqgvbu.png)
=>
which is the volume of the given pyramid .