Area + expression of a variable from the formula - practice problems - page 23 of 48
Number of problems found: 946
- Branches 18533
The right triangle has an area of 225 cm². One of its branches is twice the size of the other. Find the lengths of its hangers. - Two rectangular boxes
Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and second of 5 cm, 12 cm, and 1 dm will be replaced by a single cube box of the same cubic volume. Calculate its surface. - What 18373
What is the edge size of a cube with an area of 37.5 m²? - Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²)
- Cylinder 17971
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface? - Circuits 17961
The area of one square is 81 cm2, and the area of the other is 225 cm². What is the ratio of their circuits? - Cross-section 17871
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 m long dam? - The circumference
The circumference of the rectangle is 62 cm. A square whose side is as long as one side of a rectangle has a circumference of 56 cm. What is the area of each shape? - Block-shaped 17543
The block-shaped reservoir has 147 hl of water, which is 3.5 m long and 2.8 m wide. Calculate the height of the reservoir.
- Tropics and polar zones
What percentage of the Earth's surface lies in the tropical, temperate, and polar zone? Tropics border individual zones at 23°27' and polar circles at 66°33'. - Czechoslovakia 17233
Slovakia has an area 38% smaller than the Czech Republic. Original Czechoslovakia had an area of 128,000 square kilometers. What are the areas of both states? - Juice-soaked 17173
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There is three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked port - Parallelogram-shaped 17123
How wide is the parallelogram-shaped garden when its area is 1378 m2, and its longer side measures 53 m? - Perimeter 17063
The area of the floor plan is 5400m². What will be the perimeter of the square floor plan?
- Quadrilateral 16603
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm. - Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Of the
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =? - Calculate 16223
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.
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