Volume of Prisms and Cylinders

The volume of a prism is calculated by multiplying the area of the base, $B$, by the height, $h$. So, the formula is $V=B\times h$.

The formula for the volume of a prism is $V=B\times h$. Substituting the given values, we get $V=20\times 3=60{\text{ cm}}^3$.

The formula for the volume of a cylinder is $V=\pi r^{2}h$. Substituting the values, we get $V=\pi \times 3^2\times 4=36\pi {\text{ cm}}^3$.

The formula for the volume of a cylinder is $V=\pi r^{2}h$. Substituting the values, we get $V=\pi \times 4^2\times 6=96\pi {\text{ cm}}^3$.

The formula for the volume of a cylinder is $V=\pi r^{2}h$. The diameter is $10\text{ cm}$, so the radius is $r=\frac{10}{2}=5\text{ cm}$. Substituting into the formula, we get $V=\pi \times 5^2\times 5=125\pi {\text{ cm}}^3$.

First calculate the area of the triangular base using the formula $\frac{1}{2}\times \text{base}\times \text{height}=\frac{1}{2}\times 10\times 5=25{\text{ cm}}^2$. Now, multiply the base area by the height of the prism: $25\times 8=200{\text{ cm}}^3$.