Number of problems found: 250
- Dice 7
A standard number cube is tossed 210 times. What is a reasonable prediction for the number of times the number cube will land on a 5?
- Height of a cube
What is the volume of a cube if the height is 5cm.
- Mike chose
Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder
- A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm2 the package is larger than the surface of the cube.
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer there were 6 cubes (in one row) in six rows, in each subsequent layer always 1 cube and one row less. What volume in cm3 did the whole tower have?
- Regular square prism
The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
- The gift
How much wrapping paper is needed to wrap a cube-shaped gift with edge measuring 15 cm?
- 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?
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
Karolína chose 5 bodies from the kit - white, blue and gray cubes, a blue cylinder and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top of each other?
- Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the
- Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
- Special body
Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
- Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the bottom is 3 m greater than the other. What are the dimensions of the pool bottom?
- Present value
A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years?
- The cube
The cube has a surface of 600 cm2. What is its volume?
- Volume per time
How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?