Third power - examples
The cube has area of base 400 mm2. Calculate the edge length, volume and area of its surface.
Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row she wrote a sum of this number and its one nines. Fi
From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
- Sphere growth
How many times grow volume of sphere if radius rises 3×?
The cube weighs 18 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
- Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
- Sphere A2V
Surface of the sphere is 306 m2. What is its volume?
- Prism X
The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 48000 cm3. What is the area of surface of the prism?
- Cube in ball
Cube is inscribed into sphere of radius 136 mm. How many percent is the volume of cube of the volume of sphere?
- Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m?
The sum of lengths of cube edges is 22 cm. What is its surface and volume?
- Cuboids in cube
How many cuboids with dimensions of 6 cm, 8 cm and 12 cm can fit into a cube with side 96 centimeters?
- Plasticine ball
Plasticine balls have radius r1=100 mm, r2=48 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball.
- Granite cube
What is the weight in kg granite cube with an edge of 0.5 m if 1dm3 of granite weight 2600 g?
Three metal balls with volumes V1=41 cm3 V2=58 cm3 and V3=83 cm3 melted into one ball. Determine it's surface area.
- Hollow sphere
Calculate the weight of a hollow brass sphere (density 8.5 g/cm3), if the outer diameter is 10 cm and wall thickness is 3 mm.
- Cube zoom
How many percent we increase volume and surface of cube, if we magnify its edge by 61%.
- Cube 6
Surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
- Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm3.
- Cube 7
Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.