Volume Conversion Word Problems - page 2 of 47
Number of problems found: 923
- Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.) - Volume of gasoline
There is 1,200 kg of gasoline in a tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of the gasoline. - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium. - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice? - Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume. - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - Water lily
A father placed 4 containers with water lilies in a newly built pond. The containers were cylindrical with a diameter of 55 cm and a height of 27 cm. What is the total volume of all four water lily containers in litres? - Density of a cube
Calculate the density of a cube if its edge is 8 cm and its mass is 3 kg. - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest whole number. - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number. - Alice 2
Alice decided to plant geraniums in the spring. She bought one 50-litre bag of soil and also cuboid-shaped boxes with base dimensions of 1 m × 15 cm and a height of 17 cm. She wants to fill the boxes with soil to a height 2 cm below the top edge. Calculat - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Fuel and oil ratio 2T
4 litres of gasoline are to be mixed with oil in a ratio of 33:1. How much oil is needed? - Boxes
Petra has planted flowers in two boxes in the shape of a cube. The first box has an internal dimension of 70 cm and the second 5 dm. She wants to make one box in the shape of a cuboid, into which she could transplant both flowers from these boxes. The new - Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm³. Calculate how many cubes with a volume of 1 cm³ this cuboid can be cut into without a remainder. - Strawberry - mililiters
The volume of a strawberry smoothie is 1,250 ml. Convert this to litres and express it as a fraction. - Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete - Aluminum - density
The density of aluminium is 2,700 kg/m³. Calculate the mass of an aluminium cube with a volume of 80 cm³.
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