Chapters
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Solution of exercise 1
- Solution of exercise 2
- Solution of exercise 3
- Solution of exercise 4
- Solution of exercise 5
- Solution of exercise 6
- Solution of exercise 7
- Solution of exercise 8
- Solution of exercise 9
- Solution of exercise 10
- Solution of exercise 11
- Solution of exercise 12
- Solution of exercise 13
Exercise 1
Calculate the volume (in cubic centimetres) of a prism that is 5 m long, 400 cm wide and 2500 mm high.
Exercise 2
A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water-resistant paint needed for the pool costs 6 dollars per square meter.
1 How much will it cost to paint the interior surfaces of the pool?
2How many litres of water will be needed to fill it?
Exercise 3
A moving company is trying to store boxes in a storage room with a length of 5 m, width of 3 m and height of 2 m. How many boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high?
Exercise 4
Calculate the surface area of a regular tetrahedron, octahedron and icosahedron, each with an edge of 5 cm.
Exercise 5
Calculate the height of a prism whose base area is 12 dm² and whose capacity is 48 litres.
Exercise 6
Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm.
Exercise 7
The height of a cylinder is the same length as the circumference of its base. Its measured height is 125.66 cm. Calculate the surface area and volume of the cylinder:
Exercise 8
Four cubes of ice with an edge of 4 cm each are left to melt in a cylinderical glass with a radius of 6 cm. How high will the water rise when they have melted?
Exercise 9
The dome of a cathedral has a semispherical form with a radius of 50 m. If the restoration costs 300 dollars per m², what is the total cost of the restoration?
Exercise 10
How many square tiles (20 cm x 20 cm) are needed to coat the sides and base of a pool which is 10 m long, 6 meters wide and 3 m deep?
Exercise 11
A cylindrical container with a radius of 10 cm and a height of 5 cm is filled with water. If the total mass of the filled container is 2 kg, what is the mass of the empty container?
Exercise 12
For a party, Louis has made about 10 conical hats out of cardboard. How much cardboard was used in total if each cap has a radius of 15 cm and a slant height of 25 cm?
Exercise 13
A cube with an edge of 20 cm is filled with water. Would this amount of water fit in a sphere with a 20 cm radius?
Solution of exercise 1
Calculate the volume (in cubic centimetres) of a prism that is 5 m long, 400 cm wide and 2,500 mm high.
Since
Solution of exercise 2
A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water-resistant paint needed for the pool costs 6 dollars per square meter.
1 How much will it cost to paint the interior surfaces of the pool?
2 How many litres of water will be needed to fill it?
dollars
Solution of exercise 3
A moving company is trying to store boxes in a storage room with a length of 5 m, width of 3 m and height of 2 m. How many boxes can fit in this space if each is 10 cm long, 6 cm wide and 4 cm high?
No. of boxes =
Solution of exercise 4
Calculate the surface area of a regular tetrahedron, octahedron and icosahedron, each with an edge of 5 cm.
Solution of exercise 5
Calculate the height of a prism whose base area is 12 dm² and whose capacity is 48 litres.
Solution of exercise 6
Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm.
Solution of exercise 7
The height of a cylinder is the same length as the circumference of its base. Its measured height is 125.66 cm. Calculate the surface area and volume of the cylinder:
Solution of exercise 8
Four cubes of ice with an edge of 4 cm each are left to melt in a cylindrical glass with a radius of 6 cm. How high will the water rise when they have melted?
Solution of exercise 9
The dome of a cathedral has a hemispherical form with a radius of 50 m. If the restoration costs 300 dollars per m², what is the total cost of the restoration?
dollars
Solution of exercise 10
How many square tiles (20 cm x 20 cm) are needed to coat the sides and base of a pool which is 10 m long, 6 meters wide and 3 m deep?
Since
No. of tiles =
Solution of exercise 11
A cylindrical container with a radius of 10 cm and a height of 5 cm is filled with water. If the total mass of the filled container is 2 kg, what is the mass of the empty container?
Mass of the container =
Solution of exercise 12
For a party, Louis has made about 10 conical hats out of cardboard. How much cardboard was used in total if each cap has a radius of 15 cm and a slant height of 25 cm?
Solution of exercise 13
A cube with an edge of 20 cm is filled with water. Would this amount of water fit in a sphere with a 20 cm radius?
Yes, the amount of water can easily fit inside of the sphere.
Hello,
the solution of Exercise No.3 …volume 1 = 30m3
and the last fraction is 30/0.24 = 125