Surface area - practice for 14 year olds - page 12 of 22
Number of problems found: 427
- Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters? - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°.
- Intersection 40981
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Cylindrical 30331
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m. If the joints and waste count for 6%. - Rectangular 5798
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid. - Calculate 5789
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm. - Calculate 4689
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone.
- 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.
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