Cuboid practice problems - page 7 of 38
Number of problems found: 758
- The largest 4
The largest room in the quarantine area is 45 m long and 30 m wide. The height of the room is 15 m. If the occupancy guidelines recommend at least five m³ per person, what is the maximum number of people allowed in the room? - Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - 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 - Fire fighting
The cuboid-shaped fire fighting tank is 6 m 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 edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm. - Pressure vessel
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 - 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? - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Water tank 2
The water tank cuboid is 12 meters long and 6.5 meters wide, and 1.2 meters high. How many hectoliters are in the tank when it is filled to 89%? - Weight of air
What is the weight of air in the living room measuring width 6 m, length 4 m, and height 2.56 m? Air density is ρ = 1.2959 kg/m³. - Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up? - 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 19063
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm? - Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Calculate 2946
The block's surface area is 94 cm². The lengths of its two edges are a = 3 cm and b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c. - Square-shaped 22513
The square-shaped aquarium is 65 cm long, 24 cm wide, and 30 cm high. How many liters of water are in an aquarium if the water reaches 5 cm below its upper edge? - Wood material
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). - 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? - Cuboid
Cuboid has a surface of 516 cm². Side a = 6 cm and b = 12 cm. How long is the side c =? - 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.
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