Geometry - math word problems - page 49 of 163
Number of problems found: 3251
- Steel ball radius
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the - Triangle similarity selection
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35 - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm? - Living room
How many people can live in a room with dimensions a = 4m, b = 5m, c = 2.5m if one person needs 15m cubic space (e.g., air)? - Cube 6
The volume of the cube is 216 cm³. Calculate its surface area. - Tank can filling
How many 8-liter cans can we fill from a block tank measuring 1.2 * 1m * 1.6m? - Cubes in a Block
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm? - Barrel painting calculation
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8m². - Column covering
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter? - Pool filling
How many hours will a block-shaped pool measuring 24 m, 12 m, and 1.8 m be filled if it flows through a 9 cm diameter pipe at a speed of 2.5 m/s? - Small and big box
Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have? How many boxes of the given dimensions can fit in it? - Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Finding x for Profit
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0 - Building
Lenka has 22 cubes for constructing a building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build a building with these cubes? - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Cube QR Codes Area
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black. - Ball reservoir capacity
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water?
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