Unit conversion - math word problems - page 31 of 132

Number of problems found: 2638

Plan road scale
A 3.5 cm-long line shows the 350 m-long road on the plan. What is the project's scale?
The crane
The construction crane has a 20m long arm. What construction area in ares can it handle from this crane if it rotates around its axis?
Determine 5
Using the formula V=lwh, determine the volume of an aquarium with these measurements: length = 78 cm, width = 6 cm, and height = 43 cm.
Truck rail pressure
How much pressure on the rails will cause an empty truck weighing 20 tons if the contact area of all wheels and rails is 16 square centimeters?
Acceleration and force
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm/s². Find the magnitude of the force.
Newton law
At what acceleration does a train with a weight of 800 t start if the traction force of the locomotive is 2 * 10⁵ N?
The cyclist - avg speed
The cyclist make a distance of 25 km at an average speed of 20 km/h. How long did the trip take him (in hours and minutes)?
Barrel water remainder
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel?
A turtle 2
A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond. How long will it take the turtle to reach the pond at this speed?
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 tempe
Trapezoid floor slats
The room has a trapezoidal floor plan; we need to polish it. The parallel sides in a trapezoid are 4,800 mm and 4,400 mm long, and the oblique sides are 4,600 mm and 5,100 mm long. There are two 900 mm wide doors in the room. One strip measures 250 cm and
The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
Plot exchange area
Mr. Nový exchanged his rectangular plot of 5.2 hectares with his neighbor for two. The first plot has the shape of a square with a side of 70 m, and the second has the shape of a rectangle with dimensions of 110 m and 410 m. After the exchange, does the n
A box 4
A box open at the top has a rectangular base of 200 mm x 300 mm and an altitude of 150 mm. If the base and the sides are 10 mm thick, find the box's total surface area.
Square garden
The square garden has an area of 36 square meters. What area will its image have in the 1:60 scale?
Aquarium shelf area
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built?
Cosine
Cosine and sine theorem: Calculate all unknown values (side lengths or angles) from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm
Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °
Living room plan
The drawing of the apartment is in the ratio of 1:200. The living room has dimensions of 2cm x 3cm in the picture. How many square meters does the living room have?
Renovation
Five doors with a width of 80 cm and a height of 2 m need to be sanded and wallpapered on both sides. One roll of wallpaper with wood decor measuring 80*1000cm costs CZK 66. How many roles will we need for the renovation?

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