Cuboid practice problems - page 32 of 39

Number of problems found: 774

Longest rod
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
Tank filling time
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
Box volume
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm.
A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface.
Gift wrapping paper
The sheet of wrapping paper measures 100 cm and 70 cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm?
Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box?
Pool capacity
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?
Painter
If one liter of paint covers an area of 5 m², how much paint is needed to cover: a) rectangular swimming pool With dimensions of 4 m x 3 m x 2.5 m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir wi
Uboid volume
Calculate the cuboid volume if the walls are 30 cm², 35 cm², 42 cm²
Cube Edge from Surface
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7 cm, 8 cm, 6 cm
Block volume ratio
The block surface is 5.632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid.
Block edge sum
The block has a square base of 36 dm², and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block.
Aquarium water calculation
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm?
Sand path
How much m³ of sand is needed to fill the 1.5 m wide path around a rectangular flowerbed of 8 m and 14 m if the sand layer is 6 cm high?
Chimney covering
How many m² of sheet metal is needed to cover 4 m high chimneys with a rectangular cross-section with 2.5 m and 1.2 m dimensions? Add 1/20 to the folds.
Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with bases of 4 m and 6 m, and the length of the trench is 30 m. What is the depth of the trench if we dig 60,000 l of soil?
Aquarium area
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium?
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?
Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm³) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls.

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