# Body volume - examples

- Children's pool

Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m^{2}of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool? - Spherical tank

The tank of a water tower is a sphere of radius 35ft. If the tank is filled to one quarter of full, what is the height of the water? - Edges or sides

Calculate the cube volume, if the sum of the lengths of all sides is 276 cm. - Body diagonal

Calculate the volume and surface of the cube if the body diagonal measures 10 dm. - Water level

How high is the water in the swimming pool with dimensions of 37m in length and 15m in width, if an inlet valve is opened for 10 hours flowing 12 liters of water per second? - Seawater

Seawater has a density of 1025 kg/m^{3,}ice 920 kg/m^{3.}8 liters of seawater froze and created a cube. Calculate the size of the cube edge. - Height as diameter of base

The rotary cylinder has a height equal to the base diameter and the surface of 471 cm^{2.}Calculate the volume of a cylinder. - Collect rain water

The garden water tank has a cylindrical shape with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank? - Perpendicular prism

Calculate the volume of the perpendicular prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs. - Density of the concrete

Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg. - Container

The container-shaped box with internal dimensions of 3.9 m, 3.25 m and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - Slant height

The slant height of cone is 5cm and the radius of its base is 3cm, find the volume of the cone - Minimum surface

Find the length, breadth, and height of the cuboid shaped box with a minimum surface area, into which 50 cuboid shaped blocks, each with length, breadth and height equal to 4 cm, 3 cm and 2 cm respectively can be packed. - TV transmitter

The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have. - Cube in a sphere

The cube is inscribed in a sphere with volume 3724 cm^{3.}Determine the length of the edges of a cube. - Axial section

Axial section of the cone is equilateral triangle with area 208 dm^{2.}Calculate volume of the cone. - Cuboid

Cuboid with edge a=24 cm and body diagonal u=50 cm has volume V=17280 cm^{3.}Calculate the length of the other edges. - Cuboid

The cuboid has a surface area 7705 cm^{2,}the length of its edges are in the ratio 1:4:5. Calculate the volume of the cuboid. - Pool

The swimming pool is 4 m wide and 9 m long and 158 cm deep. How many hectoliters of water is in it, if the water is 27 cm below its upper edge. - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm^{2.}

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