Physical quantities - math word problems - page 168 of 177
Number of problems found: 3535
- Living room plan
The drawing of the apartment has a scale of 1:200. The living room measures 2 cm × 3 cm on the drawing. What is the actual area of the living room in square metres? - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Six-sided parasol
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6 dm and height v=25 cm. How much fabric is needed to make a parasol if we count 10% for joints and waste? - Triangle angle bisector
In the triangle, ABC, the angles alpha and beta axes subtend the angle phi = R + gamma/2. R is a right angle of 90°. Verify. - Trapezoid - construction
Construct a trapezoid ABCD (AB // CD): | AB | = 7 cm | BC | = 3.5 cm | CD | = 4 cm The magnitude of the angle ABC = 60° - Drinking trough
A drinking trough for cattle is in the shape of a half-cylinder, 2 metres long with a diameter of 80 cm. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints? - Stool cover fabric
Susan has an old stool shaped like a cube with an edge length of 80 cm. She wants to sew a new cover for it. How many square metres of fabric does she need, allowing an extra 15% for stitching and folds? - Roof material
A house has a pyramid-shaped roof on a square floor plan with base dimensions of 12 × 12 m and a height of 2 m at the apex. How much roofing material needs to be bought? Include a 10% reserve. - Tower room whitewash
The castle tower room has the shape of a cylinder with a diameter of 4.6 m and a height of 2.9 m. Calculate how much it will cost to whitewash the ceiling and walls of this room if €23 is paid for 1 square meter, while windows and doors account for 15℅ of - Cube volume comparison
We have two cubes of the same weight. One is all made of glass, the other of cork. Which one has more volume, and how many times? - The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed to produce this roof if the seams and waste required an increa - Milk cartons
Monica measured the dimensions of two different milk cartons. One had dimensions of 9*5.8*19.6 cm, the other 9.4*6.3*17.3 cm. She wanted to see if less material was used to make a particular box. Check it out and find out what percentage of material is sa - Hypotenuse - construct problem
A line segment AA1 of length 6 cm is given. Construct all triangles ABC for which AA1 is the hypotenuse, side length BC is 5 cm, and angle gamma is 60°. - Perimeter of needle
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1 m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm - Point distance minimization
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Necessary paint
3 kg of paint is sufficient for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m × 15 m and a depth of 1.5 metres? - Room plan area
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm². Determine the actual area of the room in square meters.
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