Volume - math word problems - page 50 of 128
Number of problems found: 2549
- 9-sided pyramid
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill? - 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. - Pool filling time
How long does it take to fill a pool measuring 6x4x1 m at a flow rate of Q = 0.2 dm³ / s? - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm. - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Perimeter of a triangle A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr
- Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube? - Ditch soil
How much soil is needed to dig a 200 m long ditch, the cross-section of which is a square with an area of 4812.5 cm2 - The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons? - Prism surface volume
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Pyramid volume
Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - Cellar pump drainage
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - The cube
The cube has a surface of 600 cm². What is its volume? - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70 °C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8 V. - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does it take for a pump to fill a cube-shaped tank up to 75% of its height?
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