Length - practice for 13 year olds - page 33 of 63
Number of problems found: 1254
- Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28cm and 44cm? The hat side length is 30cm. Add 5% of the material to the bust. Round to cm². - Triangular 8227
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting? - Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
- Competition 8193
David caught three carp races. The second was 15 cm longer than the first. The third is 8 cm shorter than the second. David entered a total length of 166 cm in the competition. How big a carp did he catch? - Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm. - Vertebrate 8181
Cyclists drove the first half of the track at an average of 37.5 km/h in 1.4 hours. After the vertebrate, they walked the same distance 6 minutes longer. At what average speed did they drive on the vertebrate? - Cross-section 8171
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m
- Determine 8134
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides. - Sand castle
Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, and its lowest point was 20 cm above the ground. How high was the sand castle? - Quadrilateral 8120
Include the side edge length of a regular quadrilateral pyramid if the pyramid height is 4 cm and the base area is 16 cm². - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Midpoint of the line segment
Length of lines MG = 7x-15 and FG = 33 Point M is the midpoint of FG. Find the unknown x.
- Midpoint 6
For line segment length is given: FM=8a+1, FG=42. Point M is the midpoint of FG. Find unknown a. - Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value. - Kilometers 8021
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) with a front-wheel diameter of up to 1.5 meters, while the rear wheel - Poplar
How tall is a poplar by the river if we know that 1/5 of its total height is a trunk, 1/10th of the height is the root, and 35m from the trunk to the top of the poplar?
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