# Area + volume - practice problems

#### Number of problems found: 373

- Pipe thickness

The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm ^ 3 and weight 9.495kg. Calculate the wall thickness of the pipe. - Find the

Find the volume and surface of a prism with a height of 120 mm, the base of which is an right isosceles triangle with a leg length of 5 cm. - Side wall planes

Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - A prism

A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square 10cmx10cm. Find the volume of the prism. - A box 4

A box open at the top has a rectangular base 200mmx300mm and an altitude of 150mm. If the base and the sides are 10mm thick, find the total surface area of the box. - The height of prism

The base of the perpendicular prism is formed by a right triangle with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - Slant height 2

A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m³. Find the lateral area of the pyramid. - Cylinder S,V

What is the volume and surface area of a cylinder whose base has a diameter of 3.15 cm and a height of 25 cm. - Wooden prism

Find the weight of a wooden regular triangular prism with a height equal to the perimeter of the base and a figure inscribed in a circle with a radius of 6, M cm, where M is the month of your birth. The density of oak is 680 kg/m³. - Height of the prism

The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism. - Markus painter

Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint is needed to cover 12 ¼ square meters of wall? - Gavin

Gavin had 3 gallons of orange juice ready to serve at the breakfast party. His family drank 2 ⅛ gallons. How much is left? Show your work with a numberline, area model or grid. - The surface

The surface of the cylinder is 1570 cm^{2}, its height is 15 cm. Find its volume and radius of the base. - School model

The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3 - An experiment

The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each used a container with a different bot - Right-angled triangle base

Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - Frustrum - volume, area

Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm. - Frustrum - volume, area

Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm, height 5 cm. - Regular quadrilateral pyramid

Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge a applies: V = 2.8 m ^ 3, v = 2.1 m - Regular square prism

The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.

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