Cuboid - practice for 14 year olds
Number of problems found: 172
- Beezlebum's
Beezlebum's Toy Store can't keep its stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edg - Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water? - Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%? - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off?
- Dimensions 7915
The cuboid’s dimensions are in the ratio of 16:12:8, and the sum of these dimensions is 180 dm. What are the dimensions of the cuboid? - 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. - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.5 m. Determine the bottom dimensions where one dimension is 3.2 m longer than the second. - 3rd dimension
The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension? - Cuboid - edges
The sum of all edges cuboid is 8 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid.
- The surface area
How much percent will the surface area of a 4x5x8 cm block increase if the length of the shortest edge is increased by 2 cm? - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck - Hectoliters 3382
288 hectoliters of water were in the block tank. The tank has dimensions of the bottom 12m and 6m and a depth of 2m. What percent of the tank volume does the water occupy? - Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl).
- Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise? - Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions of 40m X 30m. What is the increase in the level of the plot? - The length 9
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Tray
What height reaches the water level in the tray shaped as a cuboid if it is 420 liters of water and the bottom dimensions are 120 cm and 70 cm?
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