Expression of a variable from the formula + area of a shape - practice problems - page 8 of 35
Number of problems found: 688
- Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Deviation 70434
Frustum has the base radii of the figures r1 and r2: r1> r2, r2 = s, and if the side deviation from the base plane is 60°. Express the surface and volume of the cone frustum using its side s. - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Circumference 69934
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - Calculate 69244
The surface of the sphere is 624 cm². Calculate its radius. - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Centimeters 68084
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume. - Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Measuring 67484
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Circumference 67334
What is the area and circumference of a diamond whose diagonals are 7 dm and 12dm in length and 6 dm in height? - Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height. - Milliliters 66834
The cube-shaped vase contains 320 ml of water, which reaches a height of 5 CM. How many milliliters of water can we pour into the vase, so the water does not run out? - Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - Parallelogram 64414
The parallelogram has side a = 58cm and diagonals u = 89cm, v = 52cm. Calculate the perimeter and area of this parallelogram. - Rectangle 64194
The rectangle has an area of 126 cm². The size of one side of the rectangle is 12 cm. Calculate the perimeter of the rectangle in cm.
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