Geometry - math word problems - page 59 of 162
Number of problems found: 3238
- Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm². - Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube. - Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm. - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Water tank
The water tank shape of the cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second, and will the inflow be open for 5/6 hours? (Calculate to one decimal place, and the - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - Dimensions 4552
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Cube-shaped 67274
In the basement, they have a cube-shaped room with an edge length of 2.5m, which has no windows, only a door with dimensions of 2*1m. They decided to make a Finnish sauna in it. How many square meters of wood paneling will they need? - Length 25661
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)? - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Block-shaped 31741
We will paint the block-shaped pool, with the dimensions of the bottom a = 25 m and b = 15 m and the height c = 3.5 m. If one kg is enough for five square meters of paint, how many kg of paint will we need? - Dimensions 70354
The cylinder's volume is 5l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm. - The cube The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
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