Geometry + reason - practice problems - page 4 of 6
Number of problems found: 117
- Ribbon on the cube
A cubical gift box is tied with a piece of ribbon. If the total length of the free ends and the bow is 18 inches, what is the length of the ribbon used? (Each side of the cube is 6 inches). - The body
The body on the figure consists of cubes with an edge length of 10 cm. What surface has this body? - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Symmetrical 67454
How many more squares in the grid in the picture need to be painted to make it centrally symmetrical? square - x x; o; o; x o; o; x; o x; o; o; o o; x; o; o This is a sketch of a grid where the colored squares are x. Thank you, Lucy - Right-angled 25091
A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6cm, longer pendant 8c - Calculate 19543
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18cm and 8cm. How many solutions does the task have? List all solutions. - Possibilities 5590
The line represents the number axis, and the marked points correspond to the numbers a, - a, and + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid? - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Z9–I–1
In all nine fields of given shape to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in th - Distribution 4907
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Mouse Hryzka
Mouse Hryzka found 27 identical cubes of cheese. She first put a large cube out of them and then waited for a while before the cheese cubes stuck together. Then, she will eat the middle cube from every wall of the big cube. Then she also eats the cube in - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 s? - Arithmetic 20153
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter?
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