Answer:
The height is 2 units
Explanation:
Find the area of the base of the square pyramid
we know that
The volume of the square pyramid is equal to
![V=(1)/(3)BH](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1npkck5tezb4g42bc6m0koc5jua6d5elt6.png)
where
B is the area of the base and H is the height of the pyramid
we have
![H=6\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/94ecofjg65836uqopm7jcjgljk7bkrp686.png)
![V=70\ units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hpqqoqk2hz3w5cqflek09slgfcwn70mfdk.png)
substitute in the formula and solve for B
![70=(1)/(3)B(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/idneh9iuer0q0g029k9x0bbfbx2tfmmgyh.png)
![B=70/2=35\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3457aqb2k7rbs8276fs3uy0j5p90xxa734.png)
step 2
Find the height of the square prism
we know that
The volume of the square prism is equal to
![V=Bh](https://img.qammunity.org/2020/formulas/mathematics/college/1z8biyc5dxidzjd7gaahhzli35rckolci0.png)
where
B is the area of the base and h is the height of the prism
we have
![B=35\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/trgy0hscn2g1p42760eiltpij1dhjpro5b.png)
![V=70\ units^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hpqqoqk2hz3w5cqflek09slgfcwn70mfdk.png)
substitute in the formula and solve for h
![70=(35)h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/inshdr48mtn8haftzcn3h1lhwmpqk40o29.png)
![h=2\ units](https://img.qammunity.org/2020/formulas/mathematics/college/mtjz97urzlzwc1dogyg6egvj9rpokw99i2.png)