Volume - practice problems - page 9 of 128
Number of problems found: 2549
- 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? - Calculate
The circumference of a sphere is o = 87 cm. Calculate its volume. Express the result in litres and round to the nearest whole number. - 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. - Iron rod
What is the mass of a cylindrical iron rod with a length of a = 9 m and a diameter of d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms and round 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. - Store - silo
A cylindrical silo (d = 4 m, h = 8 m) is about 70% full. How many m³ of silage are stored in it? Round the result to the nearest whole number. - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm × 5 cm. Calculate the height of the cuboid in centimetres. - 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 - Instantaneous water heater
Water flows into and out of an instant water heater simultaneously. If water only flows in, the empty heater would be filled in 18 minutes. If water only flows out, the full heater would be emptied in 20 minutes. How many minutes will it take to fill the - Elementary Art School
The music and art department of an elementary art school is attended by 86 students. The music department is attended by 45 students and the art department by 53 students. Some students attend both departments. How many students attend both departments at - 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?
- A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 2.4 m × 0.8 m × 0.5 m. What will be the volume of a cube-shaped chest with the same surface area? - 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?
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