Geometry Answers

16. Identify a polyhedron with two congruent bases that lie in parallel planes, and whose every section that is parallel to a base has the same area as that of the base.

a) Prism
b) Pyramid
c) Circular Cylinder
d) Right Circular Cone

15. What is the solid generated by rotating a right triangle about one of its legs as an axis?

a) Conical Surface
b) Cylindrical Surface
c) Circular Cylinder
d) Right Circular Cone

14. What is the surface generated by moving a straight line which always intersects a fixed plane curve and which always passes through a fixed point not in the plane of the curve?

a) Conical Surface
b) Cylindrical Surface
c) Circular Cylinder
d) Right Circular Cone

1. What is the prism whose lateral surface area is the sum of the areas of individual triangle?

a) Cone
b) Pyramid
c) Cylinder
d) Parallelepiped

10. The lateral area of a right circular cylinder is to be determined, which equation fits the requirement?

a) 1/3 πr^2h
b) πrl
c) 2πrh
d) 1/3 πrh

9. The lateral area of a right circular cone is to be determined, which equation fits the requirement?

a) 1/3πr^2h
b) πrl
c) 2πrh
d) 1/2 πrh

8. A right circular cylinder with an altitude of 40 cm and base diameter of 30cm has a right circular cone at its top with the same base. If the cone is 60cm high, determine its lateral area in cm2.

a) 706.86
b) 2,827.43
c) 2,914.45
d) 3,345.76

5. The total area of a regular tetrahedron is 110.85 m2, determine its base edge.

6. If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its radius.

7. Determine the lateral area of a cylinder of height 300mm and base radius of 100mm.

1. A prismatoid has an upper base of 90 cm^2 , a lower base of 210 cm^2 , an altitude of 100 cm, and a midsection of 120 cm^2. What is its volume?

2. Find the midsection of a frustum of a square pyramid if its lower base is 20 cm on a side, its upper base is 12 cm on a side, and the altitude of the frustum is 14 cm.

The surface area of a sphere inscribed in a regular tetrahedron is 144pi centimeter squared.
1. What is the radius of the sphere?

2. What is the altitude of the tetrahedron?

3. If a sphere is inscribed in a cube of side 12cm, what is the volume of the sphere?