NEW
Font size
WorksheetsTLA 3.1 Plane and Solid Geometry
Total questions: 20
Worksheet time: 3600secs
Determine the area of a regular 6-star polygon if the inner regular hexagon has 10 cm sides.
441.66 cm2
467.64 cm2
519.60 cm2
493.62 cm2
A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the large pentagon. Determine the area inside and concentric to the larger pentagon but outside of the smaller pentagon.
430.70 cm3
573.26 cm3
473.77 cm3
516.14 cm3
The area of a circle is 89.42 sq. inches. What is the length of the side of a regular hexagon inscribed in a circle?
5.533 in.
5.335 in.
6.335 in.
7.335 in.
A regular hexagon is inscribed in a circle whose diameter is 20 m. Find the area of the 6 segments of the circle formed by the sides of the hexagon.
36. 45 sq. m
63. 54 sq. m
45. 63 sq. m
54. 36 sq. m
In triangle ABC, angle C = 70o, A= 45o, AB = 40 m. What is the length of the median drawn from vertex A to side BC?
36.3 m
36.6 m
36.9 m
37.2 m
The angle of a sector is 30 degrees and the radius is 15 cm. What is the area of the sector?
89.5 cm2
58.9 cm2
59.8 cm2
85.9 cm2
What is the radius of the circle circumscribing an isosceles right triangle having an area of 162 sq. cm?
13.52
14.18
12.73
1564
Two complementary angles are in the ratio 2:1. Find the larger angle.
30°
60°
75°
15°
One side of a parallelogram is 10 m and its diagonals are 16 m and 24 m, respectively. Its area is:
156.8 sq. m.
185.6 sq. m.
158.7 sq. m.
142.3 sq. m.
The area of a rhombus is 132 square cm. if its shorter diagonal is 12 cm, the length of the longer diagonal is:
20 centimeter
21 centimeter
22 centimeter
23 centimeter
A regular octahedron has an edge 2m. Find its volume (in m3).
3.77
1.88
3.22
2.44
The central angle of a spherical wedge is 1 radian. Find its volume if its radius is 1 unit.
2/3
1/2
3/4
2/5
The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm apart. What is the volume of the right prism?
1211.6 cm3
2211.7 cm3
1212.5 cm3
1122.4 cm3
A circular cylinder with a volume of 6.54 cu. m is circumscribed about a right prism whose base is an equilateral triangle of side 1.25 m. What is the altitude of the cylinder in meters?
3.50
3.75
4.00
4.25
The height of a right circular base down is h. If it contains water to depth of 2h/3 the ratio of the volume of water to that of the cone is:
1:27
2:3
8:27
26:27
A conical vessel has a height of 24 cm. and a base diameter of 12 cm. It holds water to a depth of 18 cm. above its vertex. Find the volume of its content in cc.
387.4
381.7
383.5
385.2
The slant height of a right circular cone is 5m long. The base diameter is 6m. What is the lateral area in sq. m?
37.7
47
44
40.8
The base areas of a frustum of a cone are 25 sq. cm. and 16 sq. cm, respectively. If its altitude is 6 cm, find its volume.
120 cm3
122 cm3
129 cm3
133 cm3
The surface area of the sphere is 4πr2. Find the percentage increase in its diameter when the surface area increases by 21%.
5%
10%
15%
20%
If a solid steel ball is immersed in an eight cm. diameter cylinder, it displaces water to a depth of 2.25 cm. the radius of the ball is:
3 cm
6 cm
9 cm
12 cm
