Length + volume - practice problems - page 7 of 23
Number of problems found: 451
- Calculate 37331
Calculate the weight of a cube with an edge length of 15 cm made of iron, / ρ = 7250 kg. M-3 / - Measuring 35931
How long does it take to fill a pool measuring 6x4x1m at a flow rate of Q = 0.2 dm³ / s? - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length 3.4 cm. - Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
- Perpendicular 35183
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V. - Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does fill take for a pump to fill a cube-shaped tank up to 75% of its height? - Flowerpot
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to - Dimensions 33763
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it?
- Bricks
How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick if 285 bricks are needed for one m³ wall? - Block-shaped 33731
How much sand is needed for a block-shaped landing pad with dimensions: Length 5.25 m, width 2.25 m, and the layer of sand should be 30 cm thick. How many times do we have to turn the cart if we load 0.75 m of sand on the cart? - Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long? - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm. - Roof repair
We need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick to repair the roof. How many euros will we pay for all boards if 1 m³ of boards costs 500 euros?
- Dimensions: 32561
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm - Distribute 32451
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3cm, 4cm, 5cm, and 6cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut. - Cube-shaped 32441
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t - Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and the diameter of the upper base d2 = 15 cm. Which vase can - Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals.
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