Ratio + area - practice problems - page 5 of 12
Number of problems found: 234
- Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm². - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Axial section
The axial section of the cylinder has a diagonal 40 cm. The shell size and base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - 13680m2 70374
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Dimensions 18793
The rectangle has 10 and 8 cm dimensions on a 1:10 scale plan. How many times does it have more area than on the plan? - 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? - Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the content of the wall of the smaller cube to the content of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1: 5. - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm². What is its length? - Half of halves
Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
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