Other Math Answers

---------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

_____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

_____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

The surface area of a sphere inscribed in a regular tetrahedron is 144 cm2

21. What is the radius of the sphere?

a) 12 cm
b) 7 cm
c) 6 cm
d) 5 cm

22. What is the altitude of the tetrahedron?.
a) 20 cm
b) 24 cm
c) 28 cm
d) 48 cm

23. If a sphere is inscribed in a cube of side What is the volume of the sphere?

a) 36πcm^3
b) 8/3πcm^3
c) 288πcm^3
d) 972πcm^3

(with solution pls)

17. A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the diagonal of the rectangular solid?

a) 7.49 cm
b) 8.94 cm
c) 14.42 cm
d) 14.97 cm

18. In question 17, what is the surface area of the sphere in ¹?

a) 176.24
b) 251.09
c) 704.03
d) 1,405.25

_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

17. A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the diagonal of the rectangular solid?

a) 7.49 cm
b) 8.94 cm
c) 14.42 cm
d) 14.97 cm

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

_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

__12. What is the surface generated by a straight line which moves along a fixed curve, and which remains parallel to a fixed line not on the curve?

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

__13. It is the product of the circumference of the base and its altitude.

a) Lateral Area of the Cone
b) Volume of the Cone
c) Lateral Area of the Cylinder
d) Volume of the Cylinder

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

a) 1/3πr^2h
b) πrl
c) 2πrh
d) 1/2πrh

11. 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

(with solution pls)

_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

_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) 1/2πrh

(with solution pls)

_6. If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its radius.

a) 25 cm
b) 10 cm
c) 5 cm
d) 2.5 cm

_7. Determine the lateral area of a cylinder of height 300mm and base radius of 100mm.

a) 18,850 mm2
b) 188,496 mm2
c) 9,424,778 mm2
d) 18,849,555 mm2

(with solution pls)

4. The lateral edge of a square prism is 20 cm long and it is inclined at an angle of 60 degrees with the base. If the volume of the prism is 1,200 cm3, determine the base edge.

a) 8.32 cm
b) 10.00 cm
c) 17.32 cm
d) 22.12 cm

_5. The total area of a regular tetrahedron is 110.85 m2, determine its base edge in m.

a) 8
b) 12
c) 16
d) 64

(with solution pls)