Unit conversion - math word problems - page 43 of 134
Number of problems found: 2678
- The body
A body slides down an inclined plane at an angle of α = π/4 = 45° to the horizontal, with friction causing a deceleration of a = 2.4 m/s². At what angle β must the plane be inclined so that, after a small push, the body slides at a constant speed? - Blood alcohol
The 80-kilogram man who caused the car accident had 2.5% blood alcohol. Determine how many grams of alcohol he had in his blood if the blood made up 8% of a person's weight. - The reservoir
The reservoir is a sphere with a diameter of 7.5 m. How many hectoliters can it hold at maximum capacity? - Barrel shell
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Locomotive pressure
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Second hand path
What path will the end of the second hand make in 24 minutes if it is 5 cm long? - Attic space
Determine the volume of the attic space: width 360 cm height 620 cm length 450 cm - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Cubic inches to cups
5-3/8" x 4" x 2-5/8" container. How many equal cups? - The volume
The volume of the rotating cone is 376.8 cm³. The height of this cone is one dm. Calculate the diameter of the cone base. - Material substance
A body made of a substance has a volume of 0.860 m³ and a weight of 0.004 t. What is the density of this substance? - Cheetah antelope pursuit
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Space vectors 3D
The vectors u = (1; 3;- 4) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them. - Atmospheric pressure
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - Balloon flight
From the pilgrimage, Nicole has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nicole and is 145 cm horizontally away from her. How high is the balloon from the ground? - A trapezoid
A trapezoid has a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and a height of 20 cm. Calculate the lengths of the other sides of the trapezoid. - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the box's edge and surface area. - Tower distance
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°? - 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? - Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
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