Solid Geometry: Prisms, Pyramids, and Cylinders — Engineering Board Exam Practice Questions

12 free engineering board exam reviewer questions on Solid Geometry: Prisms, Pyramids, and Cylinders (Plane Geometry), each with the correct answer and a worked solution.

1. Find the volume of a regular tetrahedron whose edge is 6.
2. A cylindrical tank of radius 2 m and length 6 m lies on its side. Find the volume of liquid in it, in cubic meters, when the liquid is 1 m…
3. Find the volume of a right prism of height 9 whose base is a regular hexagon of side 4.
4. The diagonal of a cube is 12. Find the volume of the cube.
5. A right circular cylinder is inscribed in a cube of edge 10. Find the volume of the cylinder.
6. Find the volume of a right prism of height 10 whose base is an equilateral triangle of side 6.
7. Find the volume of a square pyramid with a base side of 6 and a height of 4.
8. Find the length of the diagonal of a rectangular box with edges 3, 4 and 12.
9. Find the lateral surface area of a right circular cylinder of radius 4 and height 9.
10. Find the volume of a right circular cylinder of radius 3 and height 10.
11. Find the total surface area of a cube whose edge is 5.
12. Find the volume of a rectangular box that measures 4 by 5 by 6.