Engineering Board Exam Reviewer · Solid Geometry: Prisms, Pyramids, and Cylinders · medium

The diagonal of a cube is 12. Find the volume of the cube.

  1. 332.55
  2. 1728
  3. 611.77
  4. 144

Answer

A. 332.55

Solution

d=a 3 a=12/ 3=4 3. V=a3=(4 3)3=192 3 332.55.

More Solid Geometry: Prisms, Pyramids, and Cylinders questions

  1. A right circular cylinder is inscribed in a cube of edge 10. Find the volume of the cylinder.
  2. Find the volume of a right prism of height 10 whose base is an equilateral triangle of side 6.
  3. Find the volume of a square pyramid with a base side of 6 and a height of 4.
  4. Find the length of the diagonal of a rectangular box with edges 3, 4 and 12.
  5. Find the lateral surface area of a right circular cylinder of radius 4 and height 9.
  6. Find the volume of a right circular cylinder of radius 3 and height 10.
  7. Find the total surface area of a cube whose edge is 5.
  8. Find the volume of a rectangular box that measures 4 by 5 by 6.
  9. Find the volume of a regular tetrahedron whose edge is 6.
  10. 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…

All Solid Geometry: Prisms, Pyramids, and Cylinders questions