Home > Basic Mathematics > Quizzes > Math Practice Test: Mensuration - Volumes, Surface Area Of 3-Dimensional Figures
Math Practice Test: Mensuration - Volumes, Surface Area Of 3-Dimensional Figures
Fast practice, instant feedback. Timer auto-submits when time’s up.
Avg score: 73% Most missed: “From a sheet 2.5 m × 1.8 m × 0.8 m ten punches each of 256 square centimeter wer…”
The surface area of a 3D shape is the total area of all its faces, while volume is a three-dimensional measure. Here are some formulas for calculating the surface area and volume of basic geometrical figures: Triangle: Perimeter = a+b+c, Total Surface Area = 1/2 b Cuboid: Perimeter = 4(l+b+h), Total Surface Area = 2(lb+bh+hl) Cube: Perimeter = 6a, Total Surface Area = 6a * Cylinder: Perimeter = 2 π r(r+h), Total Surface Area = 2πrh Cone: Perimeter = π r(r+l), Total Surface Area = π rl Sphere: Perimeter = 4 π r, Total Surface Area = 4π r * Hemisphere: Perimeter = 3 π r, Total Surface... Show more
Math Practice Test: Mensuration - Volumes, Surface Area Of 3-Dimensional Figures
Time left 00:00
25 Questions

1. From the above question the depth of the well is _____ m
2. From a sheet 2.5 m × 1.8 m × 0.8 m ten punches each of 256 square centimeter were punched. By what % the sheet will be decreased?
3. From the above question (8) find the total surface area (in sq. pie decimeter) 1 meter = 10 decimeter = 100 cm = 1000 mm?
4. A well 70 m deep by 14 m wide was dug in a field 80 by 60 m and the earth thus available spread around over the field to make a platform. The level of the platform is _____m
5. The area of a parallelogram is 50 and its sides are of equal length 10. One of the angles in the parallelogram is
6. A water melon of 14 cm diameter was cut into four equal pieces. Find the surface area (cm2) of each share.
7. Three cubes of edges 8, 10, 15 cm were melted to form another cube. Maximum side of the new cube is _____ cm
8. The big cube referred to in problem 6 was left in sun by mistake and its colour faded. How many smaller cubes will have colour in good condition?
9. How many beams of 80 cm × 20 cm × 15 cm can be cut from a big log of 5.4 m × 1.35 m × 0.96 m?
10. A pipe 10 m long and 1.8 m wide is made of half meter thick sheet. Total surface area is π m2
11. A cube of 8 cm edge was painted and then cut into 64 equal small cubes. Total surface areas (m2) of such cubes which are painted on all sides is
12. The lateral surface area (exclude the end areas) of a cylinder is numerically equal to twice the volume. What is its diameter?
13. How many timesa 22 ft. long string would wrap around a 1 ft diameter tree?
14. A sheet 28 cm by 14 cm was rolled length wise/breadth wise to form two cylinders. Ratio of their surface areas ?
15. A cylindrical tent 28 m high and 154 m2 base – with conical top – is to be built with apex height 52 meter. Its volume is m3
16. A sphere of 14 cm diameter was pierced through a cylinder 7 cm wide. By what % the area is reduced?
17. A box has dimensions w × w × h. The ratio of its volume to the volume of a box with dimensions 2w × 3w × 2h, i will be?
18. A sphere of 616 cm2 will have volume of _____ cc?
19. What level of water (cm) is required to fully immerse a cube of 6 cm edge in a jar with base 38.5 cm2?
20. A cylinder, a cone and a hemisphere are within a cube. Ratio of their volumes?
21. A cylindrical tent with base 154 square meter but spherical top is to be built with apex height 52 m. Its volume is m3?
22. A sheet 28 cm thick was moulded to form a pipe of 70 cm diameter 3 m long. Find how much of the sheet (in m3) was used?
23. How much minimum water will be required to immerse a rod of 12 cm × 8 cm × 6 cm in a cylindrical tank of base 14 cm?
24. A dump truck has a cubical box trailer. If each dimension is doubled on a new truck, what is the ratio of the volume of the new truck to the volume of the dump truck?
25. Find the minimum water level required if the tank of Q.22 is with base 38.5 square cm.