Physical quantities - math word problems - page 217 of 296
Number of problems found: 5915
- Plot plan scale
The square-shaped plot actually covers an area of 81 ares. Maybe draw it in the village plan on a scale of 1:200. What will be the length of the side on the plan? - Direct indirect proportion
Decide if the variables are in a relation of direct or indirect proportionality. 1st variable 2nd variable does not change: a) number of bottles of syrup amount paid for them price per 1 bottle b) length of the side of a rhombus length of the correspondin - Bank inflation saving
Let's assume that the interest in the bank is 10% and that we have saved €1000. 10% may seem like a good investment. However, if inflation is 6%, how much can we save in the bank in real terms? For the simplicity of the calculation, the income is not taxe - Map
On a tourist map with a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes. - Truck bed
Calculate how many truckloads are needed to transport grain from the combine hopper. The hopper is a prism with a rhombus-shaped base with sides of 13 dm and a height of 2.8 m to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with - Castle painting cans
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars? - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Sandpile
Sand was piled into an approximately conical shape. Workers wanted to determine the volume (amount of sand) and measured the circumference of the base and the total length of both slant sides of the cone. What is the volume of the sand cone if the circumf - Poplar shadow
A nine-metre poplar casts a shadow 16.2 m long. How long a shadow does Peter cast at the same time if he is 1.4 m tall? - Chimney and tree Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long.
- Display case
Place a glass shelf at the height of 1 m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Rainwater Tank Volume
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12 m wide and reports 50 mm of rainfall? - Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Classroom painting cost
The classroom is 11 m long. The width is 6.5 m, and the height is 4 m. We will pay CZK 7.50 for 1 m of square painting. How much will it cost to paint a classroom? They rounded to the crowns. - Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40 cm, b = 15 cm, c = 30 cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium. - Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume. - Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid - Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm.
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