# Square root + surface area - examples

1. Axial section
Axial section of the cone is equilateral triangle with area 208 dm2. Calculate volume of the cone.
2. Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
3. Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=7 and height v=6?
4. Cubes
One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm2.
5. Sphere
Surface of the sphere is 2820 cm2, weight is 71 kg. What is its density?
6. Rotation
Right triangle with legs 14 cm and 20 cm rotate around longer leg. Calculate the volume and surface area of the formed cone.
7. Tower
The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m2 of sheet is required to cover the top of the tower if we count 8% of the sheet waste?
8. Prism X
The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 20250 cm3. What is the area of surface of the prism?
9. 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?
10. Balls
Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
11. 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 m2?
12. Sphere A2V
Surface of the sphere is 241 mm2. What is its volume?
13. Cube wall
Surface of first cube wall his 225 mm2. Second cube area is 60% of the surface of the first cube. Determine the length of the edge of the second cube (x).
14. Cube - wall
V kocke ABCDEFGH je ?. Aký je povrch kocky?
15. Cube and sphere
Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
16. The cube
The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges
17. Cube edge
Determine the edges of the cube when the surface is equal to 37.5 cm square.
The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm.
19. Volume and area
What is the volume of a cube which has area of 361 cm2?
20. Area to volume
If the surface area of a cube is 486, find its volume.

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