Cuboid + expression of a variable from the formula - practice problems - page 3 of 10
Number of problems found: 181
- The aquarium
The aquarium is 120 cm long, 70 cm wide, and 96 cm high. How high does the water reach if we fill it with 168 liters? - 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? - 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.
- 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? - 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? - 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? - Cuboid-shaped 47321
The cuboid-shaped fire fighting tank is 6m long and twice as wide. What is the height of the tank if the firefighters fill the empty tank in 0.5 hours with a hose flow rate of 12 liters per second?
- Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep - Measuring 67734
The candle has the shape of a block measuring 3 cm, 4 cm, and 5 cm. How many times is more wax used to make a candle if we gradually enlarge one, two, and all three edges twice? - Water tank
The water tank shape cuboid has a width of 2.3 m and length twice larger. How high will reach water if water flows into 19 liters of water per second during 52 minutes? - Should 27591
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.
- Block-shaped 26041
In the block-shaped room, the floor has dimensions of 4 m and 3.5 m. The volume of this room is 35 m³. How much will it cost to paint this room if we pay €1.2 for 1 m² of paint (remember that we will not paint the floor)? - 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 - Calculate 82567
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Calculate 82992
Given cuboid ABCDEFGH. We know that |AB| = 1 cm, |BC| = 2 cm, |AE| = 3 cm. Calculate in degrees the angle size formed by the lines BG and FH . - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD.
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