Grade - math word problems - page 645 of 968

Number of problems found: 19341

Sand path
How much m³ of sand is needed to fill the 1.5 m wide path around a rectangular flowerbed of 8 m and 14 m if the sand layer is 6 cm high?
Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
Right Triangle Sides Area
In the right triangle ABC, we know the right angle γ, the area S = 48 cm², and the side a = 8 cm. Calculate: pages b, c
Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
Fractions of a Whole
How do we call one part when we divide the whole into 5 (6,7,8,9,10) equal parts?
40% volume
40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume?
Scientific notation
Approximately 7.5x10⁵ gallons of water flow over a waterfall each second. There are 8.6x10⁴ seconds in 1 day. Select the approximate amount of water flowing over the waterfall in 1 day.
Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface area 50% greater than that of the inscribed sphere.
Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5.
Cycling Race Dropouts
Out of 86 participants in cycling races, only 56 competitors reached the finish line. How many competitors gave up during the race?
An oil
An oil drum is cut in half. One-half is used as a water trough. Use the dimensions, length 82cm, width 56cm, to estimate the capacity of the water trough in liters.
Third of an hour
How many minutes is a third of an hour? Do you know how to find a third of the lesson hour (45 minutes)?
Light bulb current
There are three light bulbs connected in a row in the circuit. Which light bulb does the largest electric current pass through?
Light Bulb Power Electricity Usage
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes?
Resistance
A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate the voltage between the terminals of the resistor.
Truck Journey Time
The truck driver left Prague at 7:20 a.m., took a twenty-minute break in Poděbrady, and reached Hradec Kralové at 8:55 a.m. How long did the whole journey take (including a break)? How long was the ride itself?
The bulb
Calculate the voltage at the bulb's terminals; if the work 18 J is done to transfer particles with an electric charge of 6 C.
Electric charge calculation
The electric current is 500 mA. How much electric charge will pass through the cross-section of the conductor in 4 s?
Wallpaper for Room Walls
How many square metres of wallpaper are needed to cover the walls of a room measuring 3 m × 4 m with a height of 2.5 m?

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