Rearrange variables - math word problems - page 71 of 147

Number of problems found: 2922

Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid?
Material consumption
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest integers.
Diamond circumference change
How do I change the length of a diamond's side if I want its circumference to double?
The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface.
Two groves
Two groves A and B are separated by a forest. Both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B if AC = 5004 m, BC = 2600 m, and angle ABC = 53° 45'?
Cyclist pedestrian speed
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours?
Medians in RT
The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, and R are the centers of the sides of this triangle. The perimeter of the PQR triangle is:
Linear function
Write the following problems using x as the unknown variable, using one of the following forms: x+p=q or px=q. Larry ran seven more miles than Barry in a month; if Larry ran 20 miles, how many did Barry run?
Block volume calculation
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume.
Triangular prism - regular
The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism.
Train speed calculation
The train ran the distance between stations at a 90 km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable?
Square - increase sides
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side
Hemisphere cut
Calculate the spherical layer's volume that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
Block volume area
A cuboid has a rectangular base 2.6 m long and 2.2 m wide. The height of the cuboid is 1/8 of the base's perimeter. Calculate the volume and surface area of the cuboid.
Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S₆ = 63. Find the fifth element a₅.
Number average calculation
The average of the two numbers is 2.8. One number is 5. What is the second number?
Horses playground
The horse fence is a rectangular trapezoid with an area of 400 m². The base lengths should be 31 m and 19 m. If the boards are stacked in 5 rows, how many meters of fence will they need?
Horse hay calculation
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days?
Checkout waiting time
When only three checkouts are open in a supermarket, people wait in line for an average of 10 minutes. How many minutes will the average waiting time in line be if two more checkouts open?
Candy ratio sharing
Lucy, Jan, and Matthew shared the candy in a ratio of 3:4:5. Matthew got 20 sweets. How many candies did they share?

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