Solid geometry, stereometry - page 22 of 123

Number of problems found: 2441

Landing pad width
There is a 30 cm layer of sand in the landing area. Determine the width of the landing pad if its length is 5 m and the volume of sand in it is 2.7 m³.
Edges of the cuboid
Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; height is 5.8 dm, and the block can hold 81.2 liters of fluid.
Block height volume
Column block shape dimension a = 25 cm, b = 20 cm, and volume 20 dm³. Determine the height.
Toothpaste roll length
How long will the roll of toothpaste be extruded from the tube if the volume of the toothpaste is 100 ml and the diameter of the opening is 8 mm?
Classroom height
Suppose a rectangular classroom is 16 feet long, 24 feet wide, and has a volume of 3,763 cubic feet. How high above the floor is the ceiling?
Cone - bases
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm.
The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
Bottling into Two Sizes
A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there?
Diesel tank level
The diesel tank is shaped like a block measuring 4.5 m x 3.2 m. If it contained 216 hl of diesel, what was its level?
Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
Wetted Bottle Area
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
Vase height volume
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm², calculate its height.
Block side lengths
The block volume is 1440 cm³, its surface is 792 cm², and the area of one of its walls is 92 cm². Calculate the lengths of its sides.
Box cube paper
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box?
Cuboid height volume
A cube has an edge of 30 cm. The cuboid has dimensions of the lower base, 45 cm, and 10 cm. What is the height of a cuboid if it has the same volume as a cube?
Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
Aquarium volume half
Paul has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium?
Cylinder cube water
We placed the largest possible lead cylinder inside a 1-litre cubic container. How many decilitres of water will now fit in the container?
Block width
What is the width of a block with volume V = 600 liters if a = 120 cm, b = 50 cm?
Roller dice weight
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice?

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