Finding Volume of Prisms and Cylinders
Finding the volume of these shapes is easier than you might think!
For rectangular prisms (like boxes), use the formula x⋅y⋅z. Simply multiply the length, width, and height together. Think of it as finding the area of the base (length × width) and then multiplying by the height.
For triangular prisms, first find the area of the triangular base using (x⋅y)÷2. Then multiply this area by the length of the prism (z). The formula is (x⋅y)÷2⋅z, giving you the total volume.
For cylinders (like cans), square the radius and multiply by π to find the circular base area. Then multiply this area by the height. The formula is (r²⋅π)⋅h, where h is the height of the cylinder.
Pro Tip: For all these shapes, you're basically finding the area of the base and then multiplying by the height. This pattern works for all prisms and cylinders!