Find the surface area and volume of the larger figure. In the earlier classes, you have also learnt to find the surface areas and volumes of cuboids, cubes and cylinders. Guided notes and examples on volumes solids of known cross sections, with a warmup section. For finding the volume of combined solids we follow the same level of calculation as we did in the surface area of a composite solid shape. This lesson on volume of solids of known cross section is designed for ap calculus ab, bc or college calculus 2. So lets find the volume of a capsule container on a truck carrying petroleum. The washer method is similar to the disk method, but it covers solids of revolution that have holes, where we have inner and outer functions, thus inner and outer radii. Surface area of an object is given by the total area of the surface that an object occupies, or we can say the total area of all the surfaces of any threedimensional figure. The surface area and volume of the smaller figure are given. Trace the triangle four times to make a net like the one shown. So now we have two revolving solids and we basically subtract the area of the inner solid from the area of the outer one. Solid sa 1088 km2 v 312 15 sa 468 ft2 v 1944 solid #2. The areas of the triangular faces will have different formulas for different shaped bases. Learn more about combination of solids, important formula for surface area and volume at.