SOLID GEOMETRY
Practice Quiz Part 1
1. A regular octahedron has an edge 2 m. Find its volume (in cu. m).
A. 3.77
B. 1.88
C. 3.22
D. 2.44
2. The corners of a cubical block touched the closed spherical shell that encloses it.
The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the
shell is not occupied by the block?
A. 2714.56
B. 3714.65
C. 4713.56
D. 4613.74
3. How many times does the volume of a sphere increases if the radius is doubled?
A. 4 times
B. 2 times
C. 6 times
D. 8 times
4. A circular cone having an altitude of 9 m is divided into 2 segments having the
same vertex. If the smaller altitude is 6 m, find the ratio of the volume of the small
cone to the big cone.
A. 0.186
B. 0.296
C. 0.386
D. 0.486
5. The ratio of the volume to the lateral area of a right circular cone is 2:1. If the
altitude is 15 cm, what is the ratio of the slant height to the radius?
A. 5:6
B. 5:4
C. 5:3
D. 5:2
