Physical quantities - math word problems - page 153 of 177
Number of problems found: 3535
- Iron rod
What is the mass of a cylindrical iron rod with a length of a = 9 m and a diameter of d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms and round to the nearest whole number. - Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1 m*4 m*90 cm. - Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²? - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrilateral pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Trench soil
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? - Six horses
How many bags of feed are needed for 6 days for six horses, if 21 bags of feed are needed for 3 days for seven horses? - Machine container filling
Two filling machines fill 250 containers in 2 hours. How many containers will 4 machines fill in 3 hours? - Oil consumption visitors
One liter of oil is enough for mom, dad, and son for 20 days. How many days will it last if 2 guests come to visit? - Lathe part production
Four lathes machine 32 parts in 1 hour. How many parts does 1 lathe produce in 2 hours? - Street plan length
What length will the 120 m long street have on the plan at a scale of 1:1500? - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Asphalt - rolling A road roller has a diameter of 80 cm and a width of 1.2 m. How many square metres of road does it roll if it makes twenty full rotations?
- Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Triangle cone volume
Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decima - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12 cm and pyramid height v = 20 cm. - Air bubble
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius of r1 = 1 cm at a temperature of t1 = 4 °C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a temp - Car intersection speed
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Fertilizer
I have 4 liters of 10% fertilizer. How much water must I add to have a 2% solution? - Carpenter chair
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs? - Sugar solution percentage
Mix 0.8 kg of sugar into 2.4 kg of water. What percentage of sugar solution do we get?
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