Unit conversion + cuboid - practice problems - page 16 of 18
Number of problems found: 356
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - Hectoliters 4550
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol - Dimensions 16813
Calculate how many bricks we will need to build a room that should be 1.8 m wide, 2 m long, and 2.4 m high. The dimensions of the brick are 25 cm x 60 cm. - Length 25661
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)?
- Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l. - Rectangle 3148
The garden tank is filled to the brim with water. The bottom of the tank is a rectangle with sides of 150 cm and 160 cm, and the height of the tank is 0.8 m. How many 15 l cans can we use to empty the garden tank? - Water level
How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second? - Sand path
How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? - Cuboid walls
The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm and the height of the block is 1.2 m
- Rectangle 4523
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl? - Aquarium 3432
The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium? - Rainwater 83296
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12m wide and reports 50mm of rainfall? - The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank? - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters.
- Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - Block-shaped 3062 A block-shaped aquarium with 35 cm and 26 cm bottom dimensions is poured with 18.2 liters of water. How high is the water?
- Fire tank 1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas.
- Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare? - Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
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