Area + expression of a variable from the formula - practice problems - page 45 of 48
Number of problems found: 949
- Right-angled 3147
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - The cube
The cube has a surface area of 486 m². Calculate its volume. - Dimensions 3086
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes?
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Calculate 3016
Calculate the height of the cylinder if you know its surface S and the radius of the base r. a) r = 2 cm, S = 120 cm square b) r = 7 dm, S = 4,000 dm square c) r = 0.2 m, S = 20 square meters - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 cm. - Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need for making this package. - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters?
- Diameter 2949
What is the diameter of a circle with an area of 35 cm square? - Calculate 2946
The block's surface area is 94 cm². The lengths of its two edges are a = 3 cm and b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c. - Tripled square
If you tripled the length of the sides of the square ABCD, you increased its area by 200 cm². How long is the side of the square ABCD? - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
- Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than an area of a square ABCD with side a: ... - Cube volume
The cube has a surface of 384 cm². Calculate its volume. - Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation.
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Area - math word problems. Expression of a variable from the formula - math word problems.