Isolating a variable in the formula - math word problems - page 63 of 145

Number of problems found: 2883

Rectangular 26641
The area of the work surface of the rectangular table is 70 dm², and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table.
Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now.
1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
An observer
An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower?
Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip?
A bottle
A bottle full of cola weighs 1,320 g. If we drink three-tenths of it, it will weigh 1,008g. How much does an empty bottle weigh?
Save trees
Twenty-five tons of old paper will save 1,600 trees. How many tons of paper are needed to save the 32 trees in the park?
Aquarium height
How high does the water in the aquarium reach if there are 36 liters of water in it? The length of the aquarium is 60 cm, and the width is 4 dm.
Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands?
Circumference 26361
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
Aquarium 26311
The bottom of the aquarium measures 30 cm and 50 cm. To what height will the aquarium be filled if 60 liters of water are poured into it?
Motorcyclist and a car
The passenger car left at 7:00 and was heading east at a speed of 60 km/h. A motorcyclist left the same place and headed north at 40 km/h. What will be their air distance at ten o'clock?
Horizontal 26131
What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters?
Sidewalk 26121
The garden has a square shape, and its area is 8,100 m². It will be divided by a sidewalk connecting the two opposite garden peaks. How long will this trail be?
Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords.
Calculate 26051
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.
Block-shaped 26041
In the block-shaped room, the floor has dimensions of 4 m and 3.5 m. The volume of this room is 35 m³. How much will it cost to paint this room if we pay €1.2 for 1 m² of paint (remember that we will not paint the floor)?

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