Solid geometry, stereometry - page 20 of 121

Number of problems found: 2410

Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid?
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.
Barrel diameter calculation
The barrel holds two hectoliters of water and reaches a height of 125cm. Calculate the inside diameter of the barrel.
Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second.
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?
Aquarium volume half
Pavel 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?
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?
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.
Shell area cy
The cylinder's shell area is 300 cm square, and its height is 12 cm. Calculate its volume.
Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?
Barrel with water
The water barrel weighs 52 kg. When we pour a quarter of the water, the barrel’s weight is reduced to 40 kg. Determine the weight of the empty barrel.
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?
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?
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.

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