Geometry - math word problems
Number of problems found: 1318
- Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):
6 m long reservoir has a diameter of 2.2 m. What is its surface area in square meters?
- Sphere cuts
At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
- Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent was the waste.
- Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water is needed to same irrigation?
- Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
Lenka has 22 cubes for the construction of building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build an building with these cubes?
Find the cuboid that has the same surface area as the volume.
- Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic cubic meters of gasoline?
Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
- Building base
Excavation for the building base is 350x600x26000. Calculate its volume in m3.
Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm?
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm.
- Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
- Pool in litres
Pool has a width of 3.5 m length of 6 m and a height 1.60 meters. Calculate pool volume in liters.
- Cube 8
The surface of the cube is 0.54 m2. Calculate the length of the cube edge.
- Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, 200cm. How many hl of water can fit into the pool?