6.) Given the information in the problem and the formula, we know that:
volume=(base)(height)
side length=3.75 cm
height=5.65cm
We can find the area of the base by squaring the lengths because the problem tells us that the prism has a square base:
base=length²
base=(3.75)²
base=14.0625 cm²
Now, we can find the volume using the formula given:
V=bh
V=(14.0625)(5.65)
V=79.45 cm³
7.) In the problem, we are given a volume of 3,000 cm³ and the formula Volume=(4/3)πr³. With this information, we can plug in the volume and then solve for r:
V=(4/3)πr³
3000=(4/3)πr³
3000/(4/3)π=r³
716.56051=r³
∛716.56051=r
r=8.95 cm
