Third power - practice problems - page 8 of 9
Number of problems found: 166
- Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Hollow sphere
The hollow steel 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 the density of steel is 7850 kg/m³
- Cube basics
How long is the edge length of a cube with volume 1 m³? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height. - Construction 1639
A group of masons had to finish the rough construction within three days. On the first day, they completed a third of this task, but on the second day, they were delayed and did 15% less work than the first day. By what % relative to the second day must t - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Balls
Three metal balls with volumes V1=81 cm3, V2=96 cm3, and V3=28 cm³ were melted into one ball. Determine its surface area. - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Lathe
From the cube of edge, 41 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed?
- Cube zoom If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface?
- Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density? - Powers
Is it true for any number a,b,c,d equality:? (a-b-c-d) 6 = (d+c+b-a) 6 - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
The sum of lengths of cube edges is 56 cm. What are its surface and volume?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
