Volume - math word problems - page 119 of 121
Number of problems found: 2418
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone.
- Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone.
- Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone.
- Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen?
- Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume:
- Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge?
- Cone
The circular cone has height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
- Pool
If water flows into the pool through two inlets, it will fill for 20 hours. If the first inlet fills the pool 8 hour longer than the second, how long does it take to fill with two inlets separately?
- Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller?
- Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
- Cube corners
From the cube of edge 5 cm, we cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will this body have?
- Sea on the Moon
Assume that the Moon has a sea with the same composition as Earth's (it has the same saltwater density). Calculate the boat's dive floating in the sea on the Moon when on Earth, it has dived 3.9 m. Consider that the Moon has 6.5-times smaller gravitationa
- Cube corners
Peter cut the wooden cube with edge 34 cm in 3 corners of the cube with edge 2 cm. How many cubes of edge 2 cm can Peter even be cut?
- Hole
They fill the shape hole with dimensions 2.7 m, 20 m, 15.8 m with 282 m³ of soil. How much percent does it fill up?
- Cubic
Convert 1503 m³ of natural gas volume to energy units kWh. Combustion of 1 cubic meter of natural gas is released energy 10.55 kWh.
- Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?
- Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
- Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³.
- Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare?
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