# Volume - math word problems

1. The tank The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank?
2. Tank 11 When 150 litres has been drawn from a tank it is 3/8 full, how many litres will the tank hold?
3. Base of house Calculate the volume of the bases of a square house, if the base depth is 1.2 m, the width is 40 cm and their outer circumference is 40.7 m.
4. Solid cuboid A solid cuboid has a volume of 40 cm3. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has length 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.
5. Inscribed Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
6. Bottles The must is sold in 5-liter and 2-liter bottles. Mr Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?
7. Circular pool The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
8. Cube, cuboid, and sphere Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. In what ratio are the volumes of cube, cuboid, and sphere?
9. Iron pole What is the mass of pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm make from iron with density ρ = 7800 kg/m³?
10. Inscribed sphere How many percents of the cube volume takes the sphere inscribed into it?
11. Solutions, mixtures How many liters of 70% solution we must add to 5 liters of 30% solution to give us a 60% solution? Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area.
13. Volcano The crater of a volcano is approximately in the shape of a cone of a base 3.1416 sq. Mi. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity?
14. Water tank In an empty fire tank, 2150 hl of water jetted in 5 hours. How many hectoliters of water was jetted every hour? How many hectoliters of water was in the tank after three hours?
15. Sand The maximum weight of the car is 5000 kg. 10 m3 of sand must be transferred. How many times does a car have to go? (density of sand is 1500 kg/m3)
16. Cubes into cuboid How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?
17. Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
18. Water flow 2 How many litres of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter, if the water flows at a speed of 30 km per hour
19. Rectangular prism If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume?
20. Rain It rains at night. On 1 m2 of lake will drop 60 liters of water. How many cm will the lake level rise?

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