# 6th grade (11y) + expression of a variable from formula - examples

- A cylindrical tank

A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank? - Rectangle 45

The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area. - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Tereza

The cube has area of base 225 mm^{2}. Calculate the edge length, volume and area of its surface. - Theater

The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater? - Sea water

Mixing 34 kg of sea water with 34 kg rainwater is created water containing 3.4% salt. How many percent sea water contains salt? - Garden

Father dig up the garden in 9 hours. Son in 13 hours. How many hours take dig up the garden together? - Circle

How big is area of circle if its circumference is 80.6 cm? - Triangles

Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle. - Garden

Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden? - BMI index

Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 71 kg and height h = 170 cm. Index is calculated according to equation (formula): ? With BMI index is possible to compare people of diff - Flowerbed 2

Around the square flower bed in a park is sidewalk 2 m wide. The area of this sidewalk is 243 m^{2}. What is the area of the flowerbed? - Playground

Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length. - Shape

Plane shape has a maximum area 677 mm^{2}. Calculate its perimeter if perimeter is the smallest possible. - 7 triangle

The triangle area is 26.7 cm^{2}. Determine the side length l if appropriate height h_{l}= 45.3 cm. - Aquarium 6

How high is the water level in the aquarium with a rectangular base 40cm and 50cm if it is filled 0,65hl of water? - One and a half chicken

One and a half chicken bears one and a half egg in one and a half day. How many eggs can withstand from 6 chicken in 6 days? - Floor

Rectangular floor of living room has a length 5.4 meters and a circumference 17.2 meters. What is its width? - Third dimension

Calculate the third dimension of the cuboid: a) V = 224 m^{3}, a = 7 m, b = 4 m b) V = 216 dm^{3}, a = 9 dm, c = 4 dm - MO-Z5-3-66 tiles

The picture shows a square tiles with side 10 dm which is composed of four identical small rectangles and squares. Circumference of small square is five times smaller than the circumference of the entire tile. Determine the dimensions of the rectangle.

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