Quadratic equation + cuboid - practice problems - last page
Number of problems found: 31
- Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm². - 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? - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - 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.
- 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. - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must beside the squares be the largest volume of the box? - 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. - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.5 m. Determine the bottom dimensions where one dimension is 3.2 m longer than the second. - Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
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