Surface area - practice for 14 year olds - page 12 of 21
Number of problems found: 417
- Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Quadrilateral pyramid,
A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18cm. Calculate 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid - Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Triangular pyramid
It is given perpendicular regular triangular pyramid: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Calculate 82690
A cone of rotation with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area. - Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3 - Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, the diameter of which is 1 m. How many times does the roller turn when rolling the whole lawn? - Quadrilateral 33143
The roof of the prefabricated holiday cottage has the shape of a regular quadrilateral pyramid with a length of the base edge of 8 meters and a height of 9 m. How many square meters of cardboard are needed to cover the roof? - Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Pyramid-shaped 30191
Above the pavilion, with a square floor plan with side a = 12 m, is a pyramid-shaped roof with a height of 4.5 m. How many m² of sheet metal is needed to cover this roof? - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Quadrilateral 5130
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Rotary cone
The volume of the rotation of the cone is 472 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm.
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