SOLID MENSURATION (SOLIMEN) REVIEWER
Quiz Number: 2
I.
The volume of a right square pyramid whose base is 45 cm2 and whose lateral edge is 5 cm is _____ cm3.
The length of the element of a given cone is called __________.
A circular cone whose axis is not perpendicular to the base is referred to as __________ cone.
In an oblique cone, the area of the right section is _______ _______ to the __________ of the circular
base.
5. A right circular cone and a right circular cylinder have equal altitudes and bases. The ratio of the volume
of the right circular cone to the volume of the right circular cylinder is ___:___.
6. A right circular frustum of a cone that have an upper base diameter of 12 cm, a slant height of 5 cm and a
lateral surface area of 300𝜋 cm2, what is the radius of the lower base?
7. The volume of a frustum of a right circular cone with an upper base radius of 4 inches and lower base
radius of 5 inches is 183𝜋 inches3. How long is its altitude?
8. Find the lateral surface area of a right circular cone inscribed in a cube with edges of length 10 cm.
9. What is the solid figure formed by passing a plane to a prism that is not parallel to the base intersecting
all the lateral edges?
10. This is the sectional area parallel to the bases of a prismatoid and is a bisector of the altitude of the
prismatoid.
1.
2.
3.
4.
II.
1. Two right circular cones have equal bases. The altitude of one cone is 8 times the radius of its base while
the other one has an altitude twice its radius. What are the dimensions of the larger cone if the difference
in their volumes is 54𝜋 inches3?
2. A right circular cone with an altitude of 27 cm and a base diameter of 22 cm rests on top of a right circular
cylinder of the same base and 32 cm in height. Find the total surface and volume of the composite solid.
3. A chimney 50 feet high is in the form of a frustum of a right circular cone with diameters of 6 ft and 8 ft.
Compute for the volume of the chimney.
Contents of the reviewer were obtained from
SOLIMEN Quiz Number 1 of Mr. R. Caguingin & SYNTAX SOLIMEN Quiz Number 1 Reviewer by Lazarte
AY 2014 – 2015 Term 2
“We are built to build”
ANSWERS & SOLUTIONS
SOLID MENSURATION (SOLIMEN) REVIEWER
Quiz Number: 2
I.
1. 37. 5
2. slant height
3. oblique
4. not equal ; area
5. 1 ; 3
6. 54 cm
7. 9 inches
8. 175.62 cm2
9. truncated prism
10. midsection area
II.
1. Two right circular cones have equal bases. The altitude of one cone is 8 times the radius of its base while
the other one has an altitude twice its radius. What are the dimensions of the larger cone if the difference
in their volumes is 54𝜋 inches3?
Radius = 3 inches ; Height = 24 inches
2. A right circular cone with an altitude of 27 cm and a base diameter of 22 cm rests on top of a right circular
cylinder of the same base and 32 cm in height. Find the total surface and volume of the composite solid.
Total Surface Area = 3,599.388 cm2 ; Volume = 15, 585.441 cm3
3. A chimney 50 feet high is in the form of a frustum of a right circular cone with diameters of 6 ft and 8 ft.
Compute for the volume of the chimney.
Volume = 1,937.3 feet2
Prepared by: April Oilec Deanielle B. Pacayra
Academics Officer
Civil Engineering Society
“We are built to build”