Volume - math word problems - page 20

1. Excavator The excavator bucket capacity is 0.5 m3. Determine the mass of sand that the excavator picks up. The sand density is 1650 kg/m3.
2. Cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
3. Rectangle 35 Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length.
4. Cube 1-2-3 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
5. Cylindrical tank Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
6. Volume increase How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
7. Three cubes The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?
8. One deci Wine 0,375 l costs 2040 CZK. How much does 1 dl cost?
9. Conical area A right angled triangle has sides a=12 and b=19 in right angle. The hypotenuse is c. If the triangle rotates on the c side as axis, find the volume and surface area of conical area created by this rotation.
10. Coolant The driver of the car cooler filled with a mixture of 3.9 liters and 2.6 liters of water antifreeze coolant. At what rate are this two components of the mixture?
11. Volume and area What is the volume of a cube which has area of 361 cm2? Grandfather have three barrels each with a capacity 2HL in the garden. How many times he can fill 10L can if two barrels are full and the third is filled with water to the half? How long it lasts water when irrigate the garden 125 liters a day?
13. Surface of cubes Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each part made a cube. In what ratio are the surfaces of these cubes?
14. 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.
15. Two cuboids Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
16. Milk bill Mrs Tara buys 2 liters of milk daily. If 1 liter of milk cost \$0.27. What will be her milk bill for 30 days.
17. Cubes into cuboid How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?
18. Gasoline canisters 35 liters of gasoline is to be divided into 4 canisters so that in the third canister will have 5 liters less than in the first canister, the fourth canister 10 liters more than the third canister and the second canister half of that in the first canist
19. Inscribed sphere How many percents of the cube volume takes the sphere inscribed into it?
20. Water block A block with a 50 cm2 base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?

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