Geometry - math word problems - page 41 of 162

Number of problems found: 3234

The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
Height of the cylinder
The cylinder volume is 150 dm cubic. The base diameter is 100 cm. What is the height of the cylinder?
Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second.
Quadrilateral 73034
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm.
Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm.
Enlarge 66284
We will enlarge the line 8 cm long in the ratio of 7:4. How long in centimeters will the new line be?
Cylindrical 66114
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm², calculate its height.
Dimensions 48033
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube?
Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level?
Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?
V - slope
The slope of the line whose equation is -6x +7 = 0 is
Waste container eco
The waste box is shaped like a block and has dimensions of 1.8 m, 1.5 m, and 1.2 m. If 0.25 m³ of waste is added to it every day, how many days will it be filled?
Cross-section 5089
The brick pillar with a cross-section of 41x77 cm has a height of 3.25 m. Calculate: (a) the volume of the pillar b) the required number of bricks (if we need 400 pieces per 1 cubic meter)
Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise?
Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid?
Three dice
When you throw three dice was, the sum total of the dice 10. The yellow dice fell one eye more than on the red, and brown fell three eyes less than red. How many eyes fell on every dice?
Hectoliter into cube
Can 1 hl of water fit into a half-meter cube?
Radius and height
Calculate the volume of the cylinder: r = 5 cm, h = 9 cm
Cuboid
Find the cuboid that has the same surface area as the volume.

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