Practice problems of the cuboid - page 9 of 37
A cuboid is a three-dimensional shape with a length, width, and height. A cuboid is a Rectangular Prism. The cuboid body has six sides called faces. Each face of a cuboid is a rectangle, and all of a cuboid's corners (called vertices) are 90-degree angles. Opposite faces are parallel. A cuboid has the shape of a rectangular box.Number of problems found: 723
- Aquarium 6
How high is the water level in the aquarium with a rectangular base of 40cm and 50cm if it is filled with 0,65hl of water? - Weight of air
What is the weight of air in the living room measuring width 8 m, length 5 m, and height 3.1 m? Air density is ρ = 1.2959 kg/m³. - Block-shaped 81632
The block-shaped pool is 40 meters long and 18 meters wide. Ten thousand eight hundred hectoliters of water were poured into it. How high is the water in it (how deep is the pool)? - Dimensions 47111
The block's dimensions are 9: 5: 4. Determine its volume if you know that the sum of the longest and shortest edges is 65 cm.
- Block-shaped 19193
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank? - An architect
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume - 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. - Capacity 70404
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - Percentage 48223
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe?
- The rainwater
The rainwater container has the shape of a block whose bottom has dimensions of 4.5 m and 3.5 m. It is partially filled with water. What is the level if there is 189 hl of water in it? - 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? - Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg. - Stone
When Peter threw a stone in a water box, he discovered that the water level had risen by 6 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 40 cm. What volume has a stone? - Block-shaped 60983
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built?
- Measuring 46271
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Calculate 45563
Calculate the weight of a wooden board 18 dm long, two dm wide, and 0.3 dm thick if you know that 1 m³ of wood weighs 660 kg. - Block-shaped 25691
A block-shaped pressure vessel with dimensions of 1.5 m, 2 m, and 3 m is filled with compressed gas. After being released from the container, the volume of the gas increases four times. What volume does the gas occupy after it is released from the contain - Contain 19203
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. How many liters of water does the tank contain if it is filled to 3/5 of its depth? - 15-meter-long 2735
The swimming pool also has a 15-meter-long pool 8 meters wide with a constant depth of 2 meters. How many hectoliters of water can fit in it if they always fill it 10 cm below the edge?
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