Physical quantities - math word problems - page 266 of 298
Number of problems found: 5952
- Candle wax wick
A pyramidal candle with a square base has a side edge of s = 12 cm and a base edge of 4 cm. How much wax will we need to make it, and how long is the wick if it is 5% bigger than its height? - Gutter metal calculation
Gutters have the shape of a half-cylinder. Their diameter is 20 cm, and the total length around the roof is 35 m. How much is sheet metal needed to make them? Add 15% to the connections. - Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof. - Assume
Two naughty boys broke the glass in a front door. The glass measured 105 cm × 150 cm and was 6 mm thick. They decided to pay for the glass from their savings and, assuming it would weigh no more than 12 kg, planned to carry it and ask the caretaker to ins - Cube volume decrease
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Cuboid Dimensions Ratio Sum
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? - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan? - Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm - Equilateral triangle circle
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle. - Triangle construction
I have to construct a triangle - procedure and solution side a = 7 cm angle β = 40 median to side c: tc = 5 cm - Pentagon
Within a regular pentagon ABCDE point, P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch. - Instantaneous water heater
Water flows into and out of an instant water heater simultaneously. If water only flows in, the empty heater would be filled in 18 minutes. If water only flows out, the full heater would be emptied in 20 minutes. How many minutes will it take to fill the - Each with each
Five pupils from the 3 A class played table tennis. How many matches did they play with each other? - Pool pump calculation
The pool for swimmers has dimensions of 25 m, 10 m, and 2.8 m, and the children's pool is only 10 m, 4 m, and 1 m. The pump will change all the water in the swimming pool in 9 hours. How long does it take for the same pump to pump out the water in the chi - Atmospheric pressure
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be? - Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28 cm and 44 cm? The hat side length is 30 cm. Add 5% of the material to the bust. Round to cm². - Scale plan
On a 1:150 scale plan, the garden is 20 cm wide and 30 cm long. What is the actual width and length of the garden? (in meters) - Land area calculation
On the map, at a scale of 1:400 m and an area of 100 cm². How much are you interested in this land? - Plot dimensions
Calculate the actual proportions of the rectangular plot in meters, which has dimensions of 70 mm and 90 mm, on a 1:2000 scale plan. - Floor
A room has a floor area of 33 m² and a width of 4 m. What is the perimeter of the room as shown on a map at scale 1:75, measured in centimetres?
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