Expression of a variable from the formula - 7th grade (12y) - math problems
Number of problems found: 298
- The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm2. Calculate the height of the trapezoid.
- Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
- The cube
The cube has a surface of 600 cm2. What is its volume?
- Volume per time
How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?
The area of the square garden is 3/4 of the area of the triangular garden with sides of 80 m, 50 m, 50 m. How many meters of the fence do we need to fence a square garden?
- Six painters
Six painters paint an area of 120 m2 in 4 hours. How long does it take for 12 painters to paint 480 m2 with the same performance?
- Train tons
The entire loaded train weighs 760 tons. It has a total of 30 wagons, each carrying 12 tons of grain and empty weighs 10 tons. What is the weight of the locomotive?
- Edge c
Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm2.
- Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
- Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- The string
They cut 113 cm from the string and divided the rest in a ratio of 5: 6.5: 8: 9.5. The longest part measured 38 cm. Find the original length of the string.
- Extending square garden
Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m2 (square), it had the shape of a square again. How many meters has the length of each side of the garden been extended?
The content of the triangle is 35 cm2. The length of the base is 10 cm. Determine the length of the height on the base.
- Similar triangles
Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm?
- Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
- Save trees
25 tons of old paper will save 1,600 trees. How many tons of paper is 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 cube
The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
Expression of a variable from the formula - math problems. Examples for 7th grade (seventh).