Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm2. What height is the block?
Correct answer:
Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- arithmetic
- third power
- solid geometry
- cube
- cuboid
- planimetrics
- area of a shape
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Dimensions 48033
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube? - The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - Calculate 78514
The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64cm³. Calculate the volume of the cuboid in cm³. - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cub
- Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3 - Mike chose
Mike chose four identical cubes, three identical prisms, and two 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 two times longer. The diameter of the base of - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Volume 2887
The block volume is 512dm³. How long is the edge of a cube with the same volume as a block? - Flowerpot
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
- Volumes 7252
The block and the cube have the same volumes of 512 cm3, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length? - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - 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?
- Determine 2429
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm. - 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 - 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet
