# Volume + surface area - math problems

#### Number of problems found: 260

• Pool coating How many tiles 25 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 30 m × 5 m, if the pool can fit up to 271500 liters of water?
• Center of the cube The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube.
• 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.
• Rotary cone The volume of the rotation of the cone is 472 cm3, and the angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.
• Cone Calculate volume and surface area of ​​the cone with a diameter of the base d=15 cm and side of the cone with the base has angle 52°.
• Tereza The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
• Prism Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
• Cube zoom How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
• Rectangular cuboid The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
• Cubes One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
• Axial section The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
• Cone A2V The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
• Rotation The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cube The sum of lengths of cube edges is 57 cm. What is its surface and volume?
• Sphere slices Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Cylinder - A&V The cylinder has a volume 1287. The base has a radius 10. What is the area of the surface of the cylinder?
• Cylinder - basics Cylinder with base radius r = 54 cm and height h=35 cm. Calculate: a) Area of the base
• Sphere A2V The surface of the sphere is 241 mm2. What is its volume?

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