# Square root + surface area - examples

- Axial section

Axial section of the cone is equilateral triangle with area 208 dm^{2}. Calculate volume of the cone. - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Tetrahedral pyramid

What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=7 and height v=6? - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm^{2}. - Sphere

Surface of the sphere is 2820 cm^{2}, weight is 71 kg. What is its density? - Rotation

Right triangle with legs 14 cm and 20 cm rotate around longer leg. Calculate the volume and surface area of the formed cone. - Tower

The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m^{2}of sheet is required to cover the top of the tower if we count 8% of the sheet waste? - Prism X

The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 20250 cm^{3}. What is the area of surface of the prism? - Pyramid roof

1/3 of area of the roof shaped regular tetrahedral pyramid with base edge 9 m and height of 4 m is already covered with roofing. How many square meters still needs to be covered? - Balls

Three metal balls with volumes V_{1}=71 cm^{3}V_{2}=78 cm^{3}and V_{3}=64 cm^{3}melted into one ball. Determine it's surface area. - Canopy

Mr Peter has metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m^{2}? - Sphere A2V

Surface of the sphere is 241 mm^{2}. What is its volume? - Cube wall

Surface of first cube wall his 225 mm^{2}. Second cube area is 60% of the surface of the first cube. Determine the length of the edge of the second cube (x). - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - Cube and sphere

Cube with the surface area 150 cm^{2}is described sphere. What is sphere surface? - The cube

The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges - Cube edge

Determine the edges of the cube when the surface is equal to 37.5 cm square. - Sphere radius

The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm. - Volume and area

What is the volume of a cube which has area of 361 cm^{2}? - Area to volume

If the surface area of a cube is 486, find its volume.

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