Area + third power - practice problems - page 2 of 3
Number of problems found: 51
- Right circular cone
The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone. - Calculate 8327
Calculate the surface area of a cube with a volume of 262,144 cm³. - 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 - 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. - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - 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 an area of 10 cm². Find the area of the or - Big cube
Calculate the cube's surface, which is composed of 64 small cubes with an edge 1 cm long. - Surface area 6156
The area (surface of the shell) of the cube is 93cm². What is the volume of the 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 as one of the square bases. What is the length of the body diagonal? - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters. - Volume and area
What is a cube's volume with an area of 361 cm²? - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - The cube
The cube has a surface area of 486 m². Calculate its volume. - Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - 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.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.