Third power - problems
- Minimum surface
Find the length, breadth, and height of the cuboid shaped box with a minimum surface area, into which 50 cuboid shaped blocks, each with length, breadth and height equal to 4 cm, 3 cm and 2 cm respectively can be packed.
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the o
- Cube root
Find cube root of 18
- Factors 2
A number has 3 identical factors. If 1 of them is 18. Find the number step by step
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
The cube has area of base 225 mm2. Calculate the edge length, volume and area of its surface.
Surface of the sphere is 2820 cm2, weight is 71 kg. What is its density?
- Cube zoom
How many percent we increase volume and surface of cube, if we magnify its edge by 38%.
From the cube of edge 37 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
- 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?
- Hollow sphere
Calculate the weight of a hollow tungsten sphere (density 19.3 g/cm3), if the inner diameter is 14 cm and wall thickness is 3 mm.
The cube weighs 24 kg. How weight is cube of the same material, if its dimensions are 2-times smaller?
Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
- Cube in ball
Cube is inscribed into sphere of radius 241 cm. How many percent is the volume of cube of the volume of sphere?
- Hollow sphere
Steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and density of steel is 7850 kg/m3
- Sphere A2V
Surface of the sphere is 296 cm2. What is its volume?
The sum of lengths of cube edges is 69 cm. What is its surface and volume?
- Plasticine ball
Plasticine balls have radius r1=75 cm, r2=35 cm, r3=91 cm. For these balls are molded one big ball. Calculate the radius r of the resulting ball.
- Sphere growth
How many times grow volume of sphere if radius rises 5×?
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface and diameter of the sphere.