Volume + power - practice problems - page 8 of 9
Number of problems found: 163
- 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 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, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed?
- Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 47 %? - Cylinders
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume, and by how much? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone.
- Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Cube
The cube weighs 11 kg. How weight is a cube of the same material if its dimensions are 3-times smaller? - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers. - Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume?
- Pump
What power does a pump output to move 4853 hl of water to a height of 31 m for 8 hours? - Sphere A2V
The surface of the sphere is 241 mm². What is its volume? - Sphere fall
How much percent fall volume of a sphere if diameter decreases 3×? - Sphere growth
How many times does a volume of the sphere rise if diameter rises 10×? - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
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