# Volume + area - practice problems

#### Number of problems found: 372

- Hexaprism container

Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm. - Prism height

What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface. - Sand loading

The truck with a load capacity of 7 tons has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand so that the load capacity of the car is not exceeded? - Hard cone problem

The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone. - The cone - S,V

Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Průměr kužele

Vypočtěte povrch a objem rotačního kužele jehož průměr je 60mm a délka strany 3.4 cm. - Iglu - cone tent

The cone-shaped tent is 3 m high, 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? b) - The pool

The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - 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 winding length is 40 m. The winding is connected to 8V. - Swimming pool

A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the - Flowerpot

The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to - Triangular pyramid

Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm. - Pentagonal pyramid

Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Wooden bowls

20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d - Cuboid diagonals

The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals. - Find the

Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm³ and a height of 45 cm. - Diver

Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm². Calculate what pressure force acts on the window at a depth of 20 meters below the water surface. - Quadrilateral prism

The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism. - Surface of the cone

Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm³.

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