Geometry - math word problems - page 48 of 162
Number of problems found: 3227
- Dimensions 3073
The room has 4m, 5m, and 2.4m dimensions. How many cans of paint are needed to paint the walls and ceiling of this room? If one can, is it enough for ten m²?
- Segment 82462
I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm?
- Segment 82178
If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be?
- Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container?
- Cuboid-shaped 49763
The cuboid-shaped sheet metal tank with dimensions a=25dm, b=5.6m, and c=180cm will be painted from the outside. How many cans of paint do we need to buy, and how many CZK crowns will we pay? One costs CZK 204, and it is enough to paint 8.5m².
- Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes?
- Soil pit
Workers dug a pit cube with an edge of 2.5 meters. How many cars shall remove soil if the car suddenly takes 4 m³ of soil?
- Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³.
- An odd function
If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f?
- Cuboid-shaped 19063
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm?
- Cylinder-shaped 18283
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters)
- Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm?
- Painting a hut
It is necessary to paint the exterior walls of the hut, whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. The cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0,45 m x 0.96 m. How much m² is n
- Aquarium
The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o
- Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
- The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate
- Two rectangular boxes
Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and second of 5 cm, 12 cm, and 1 dm will be replaced by a single cube box of the same cubic volume. Calculate its surface.
- Cube-shaped box
Find the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, and 6cm small cubes could be stacked to fully use the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
- 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?
- Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up?
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