12.4 Volume of Cubes/Prisms/Cylinders

Because these shapes are essentially an elongated base (look at the triangular prism...it's just a really long triangle!), we just take the area of the base, and times it by how long the 3-d shape is.

Like always, start with finding the area of the base (it's a triangle)

Next, we take that area of the base, and multiply by how long the shape is...so 12

 $\frac{8\cdot3}{2}=12$  (base area)

 $12\cdot12\left(length\right)=144cm^3$  

*Notice the units is cubed...not squared anymore!

Similar to the prisms, we start with finding the base area (the base is a circle, so find the area of the circle)

Take that area of the circle, and multiply by how tall the cylinder is (15 cm)

 $3015.9cm^3$  = Volume of Cylinder