Volume - practice for 14 year olds
Number of problems found: 788
- A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - Drain and inlet
The reservoir is filled with inflow in 12 hours. It will drain through the drain in 9 hours. Can the tank overflow if we leave the inlet and outlet open at the same time? - Geometric Solid
A concrete pipe is 1.0 m long. Its inside and outside diameters are 60 cm and 75 cm, respectively. What is the volume of the concrete (cubic meters) needed to make 25 pcs of pipe? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Smoothie 2
David is using 100 ml of pineapple juice to make a smoothie. He needs to use a pineapple juice to orange juice ratio of 2: 5. How much orange juice should he use? - 2-cycle
2-cycle engines require a mixture of oil and gas to run properly. For every gallon of gas, a certain 2-cycle engine requires 1 1/4 fl oz of oil. How much oil must be added to prepare 3 1/2 gallons of gas to get the proper mixture? - Water 70
Water is poured into a hemisphere-shaped bowl at a rate of 5m³ per second. If the bowl has a depth of 8m, how long does it take to fill up the bowl to the rim? - Heat energy
Energy is measured using the unit Joule (J). Temperature is measured using the unit degree Celsius °C). To increase the temperature of 1 liter of water by 1°C, 4200 J of heat energy is required. (a) Kelly wants to increase the temperature of 2 liters of w - Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio - The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - Salt water
The ratio of water (in liters) to salt (in grams) needs to be 3 to 2. If we add 10 grams of salt, how much water do we need to add? - Quadrilateral 83324
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Equilateral 83322
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500kg/m³? - Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Quadrilateral 83307
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm? - Calculate 83248
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH. - Afternoon 83168
In the morning, 6 liters more water was in the green canister than in the blue one. In the afternoon, the gardener poured 1 liter of water from the green canister into the blue one. There was then twice as much water in the green canister as in the blue o - Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Dimensions 83135
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
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