Surface area + third power - practice problems - page 2 of 3
Number of problems found: 42
- Dimensions 7932
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - 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. - Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
- Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked por - 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. - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%?
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal? - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the box's edge and surface area. - Surface area 6156
The area (surface of the shell) of the cube is 93 cm². What is the volume of the cube? - Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - 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.
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
