Geometry - math word problems - page 125 of 162
Number of problems found: 3231
- Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage?
- Percentage 48223
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe?
- Rectangles 7346
Draw rectangles. Color them and calculate the circuits and areas. KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4cm PQ = 3.5cm
- Trapezoid 4908
Trapezoid ABCD with bases AB = a, CD = c has height v. The point S is the center of the arm BC. Prove that the area of the ASD triangle is equal to half the area of the ABCD trapezoid.
- Construction 3357
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure?
- Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
- 3 positive charges
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos
- Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste
- Pieces 6890
Divide the line MN (/ MN / = 9cm) into 11 equal pieces
- Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density ρ = 550 kg/m³).
- The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
- Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube?
- Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and a radius of 4cm. Mark the points to belong to the circle and connect them with point L.
- Construct
Construct a rhombus ABCD with side a = 7cm, b = 5cm, whose diagonal e is perpendicular to side b.
- Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
- Procedure 4578
I have to construct a triangle - procedure and solution side a = 7cm angle β = 40 median to side c: tc = 5cm
- Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm.
- Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste?
- Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was.
- The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
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