Ratio + cuboid - practice problems - page 2 of 3
Number of problems found: 44
- Dimensions 7915
The cuboid’s dimensions are in the ratio of 16:12:8, and the sum of these dimensions is 180 dm. What are the dimensions of the cuboid? - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid?
- Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Calculate 6193
On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m. Calculate how many hectoliters of water will fit in the pool. - Prism-shaped 6137
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes?
- Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7: 5: 3. Calculate the length of the edges. - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2: 3: 6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Dimension 5079
We will double one block dimension and reduce the other by a third. How does its volume change? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Cuboid - edges
The cuboid has dimensions in a ratio of 4:3:5. The shortest edge is 12 cm long. Find: The lengths of the remaining edges The surface of the cuboid The volume of the cuboid - Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid. - Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm. - Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
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