# Volume + area - math problems

#### Number of problems found: 359

- Height of the prism

The volume of the quadrilateral prism is 723.6 cm^{3}. 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 square prism

The volume of a regular square prism is 192 cm^{3}. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism. - Trapezoidal base

Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm. - Axial section

Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Truncated pyramid

The truncated regular quadrilateral pyramid has a volume of 74 cm^{3}, a height v = 6 cm, and an area of the lower base 15 cm^{2}greater than the upper base's content. Calculate the area of the upper base. - The tetrahedron

Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm. - The block

The block, the edges formed by three consecutive GP members, has a surface area of 112 cm^{2}. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - Base diagonal

In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Side edges

The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Surface and volume - cube

Find the surface and volume of a cube whose wall diagonal is 5 cm long. - Triangular prism

The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area. - The volume

The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.

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