Math practice for 13 year olds - page 365 of 414

Number of problems found: 8279

Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm.
Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5 cm. Solve as a construction task.
Circle - simple
Calculate the area of a circle in dm² if its circumference is 31.4 cm.
Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes?
Colour - billboard
The billboard has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of the billboard surface.
Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm.
Right triangle ABC
Calculate the perimeter and area of a right triangle ABC. If you know the length of the legs, 4 cm, 5.5 cm, and 6.8 cm are the hypotenuse.
Cuboid - simple
Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm, and c = 6 cm.
Rhombus A2p
The rhombus area is 13 cm², and its height is 5 cm long. Find the perimeter of this rhombus.
Grass seeds
How many kg of grass seed is needed to be sowing a circular field with a diameter of 120 meters when one m² should be used in 0.8 grams of seeds?
Roof tiles
The roof has a trapezoidal shape with bases of 15 m and 10 m, and its height is 4 meters. If a one-meter square should be used for eight tiles, how many tiles will be needed?
Annulus
Calculate the area of two circles annulus k₁ (S, 3 cm) and k₂ (S, 5 cm).
Sidewalk
The city park is a circular bed of flowers with a diameter of 8 meters. Around it, the whole length is 1-meter wide sidewalk. What is the sidewalk area?
Stone
When Peter threw a stone in a water box, he discovered that the water level had risen by 9 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 48 cm. What volume has a stone?
Borrowed book
Jane must, as soon as possible, return a borrowed book. She figured that reading 15 pages a day return the book in time. Then she read 18 pages a day and then returned the book one day before. How many pages should a book have?
Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters?
Concrete box
The concrete box with walls thick 6 cm has the following external dimensions: length 1.6 m, width 39 cm, and height 32 cm. How many liters of soil can fit if I fill it to the brim?
Triangle SSA
Construct a triangle ABC if |AB| = 5 cm v_a = 3 cm, CAB = 50 °. It is to create the analysis and construction steps.
Water pool
What is the water level in a cuboid-shaped pool with a base of 25 m × 10 m when it contains 3,750 hl of water?
Painter
How many euros will we pay for repainting the room-shaped cuboid with a length of 4.5 meters, a width of 2.5 meters and a height of 3 meters, if for one m² with paint, we pay € 1.5?

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