SOLID MENSURATION (SOLIMEN) REVIEWER
Quiz Number: 1
I.
1. If one can draw 90 diagonals within a regular polygon, the polygon is known as __________.
2. It is the line segment connecting the center of a polygon and the midpoint of a side to which it is
perpendicular.
3. It is the segment from the vertex of a triangle extended perpendicular to the opposite side.
4. The segment from the vertex of a triangle bisecting the angle on the same vertex extending to the opposite
side is referred to as __________.
5. __________ is defined as the intersection of all the medians of a triangle.
6. __________ is defined as the intersection of all the altitudes of a triangle.
7. The center of the largest possible circle that can be inscribed in a triangle is the __________.
8. The central angle of a sector of a circle with a diameter of 5 cm is 30°. The perimeter of the sector is
__________.
9. The area of a dodecagon of side 4 mm is __________.
10. The angle formed by two intersecting planes is called _______ _______.
II.
1. Two concentric circles have radii of 15 inches and 21 inches. Consider a central angle of 45°. Find the
area of the portion of the sector of the larger circle outside the smaller circle.
2. An isosceles trapezoid with an area of 2,646.56 ft2 has the length of one of its congruent sided to be 32.8
feet while its altitude measures 19.68 ft. What is the perimeter of the trapezoid?
3. An object whose ends are regular nonagons was cut from a cylindrical solid wood of length 36 inches and
diameter of 2.5 cm. Compute for the volume of the said object considering the least possible amount of
waste to be produced.
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: 1
I.
1. pentadecagon / 15-gon
2. apothem
3. altitude
4. angle bisector
5. centroid
6. orthocenter
7. incenter
8. 6.309 cm
9. 179.14 mm2
10. dihedral angle
II.
1. Two concentric circles have radii of 15 inches and 21 inches. Consider a central angle of 45°. Find the
area of the portion of the sector of the larger circle outside the smaller circle.
Area = 84.823 inches2
2. An isosceles trapezoid with an area of 2,646.56 ft2 has the length of one of its congruent sided to be 32.8
feet while its altitude measures 19.68 ft. What is the perimeter of the trapezoid?
Perimeter = 334.56 ft
3. An object whose ends are regular nonagons was cut from a cylindrical solid wood of length 36 inches and
diameter of 2.5 cm. Compute for the volume of the said object considering the least possible amount of
waste to be produced.
Volume = 162.684 inches3
Prepared by: April Oilec Deanielle B. Pacayra
Academics Officer
Civil Engineering Society
“We are built to build”