Cuboid edges in ratio

Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.

Correct result:

a =  16 cm
b =  32 cm
c =  48 cm

Solution:

V=24576 cm3 a:b:C=2:4:6 V=abc V=2k 4k 6k=48k3 k=V/483=24576/483=8 cm a=2 k=2 8=16 cmV=24576 \ \text{cm}^3 \ \\ a:b:C=2:4:6 \ \\ V=abc \ \\ V=2k \cdot \ 4k \cdot \ 6k=48k^3 \ \\ k=\sqrt[3]{ V/48}=\sqrt[3]{ 24576/48}=8 \ \text{cm} \ \\ a=2 \cdot \ k=2 \cdot \ 8=16 \ \text{cm}
b=4 k=4 8=32 cmb=4 \cdot \ k=4 \cdot \ 8=32 \ \text{cm}
c=6 k=6 8=48 cmc=6 \cdot \ k=6 \cdot \ 8=48 \ \text{cm}



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Cuboid and ratio
    cuboid_2 Find the dimensions of a cuboid having a volume of 810 cm3 if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
  • Cuboid height
    kvader11_8 What is the height of the cuboid if the edges of its base are 15 cm and 4 cm long and its volume is 420 cm cubic?
  • Max - cone
    cone_4 From the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, 6.2 cm must be produced the greatest cone. a) Calculate cone volume. b) Calculate the waste.
  • Swimming pool
    basen The pool shape of cuboid is 299 m3 full of water. Determine the dimensions of its bottom if water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
  • Pool
    bazen How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m2?
  • Cuboid enlargement
    cubes_12 By how many percent increases the volume of cuboid if its every dimension increases by 30%?
  • Cube corners
    polyhedra-truncated-cube From cube of edge 5 cm cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
  • The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?
  • Two boxes-cubes
    3-kostky Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?
  • Prism bases
    hranoly Volume perpendicular quadrilateral prism is 360 cm3. The edges of the base and height of the prism are in the ratio 5:4:2 Determine the area of the base and walls of the prism.
  • Scale factor
    cuboid_7 A prism with a volume of 1458 mm3 is scaled down to a volume of 16mm3. What is the scale factor in fraction form?
  • The volume 2
    cubes3_11 The volume of a cube is 27 cubic meters. Find the height of the cube.
  • Bottles
    flasa_1 The must is sold in 5-liter and 2-liter bottles. Mr Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?
  • Holidays - on pool
    pool_4 Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
  • Coefficient
    gp Determine the coefficient of this sequence: 7.2; 2.4; 0.8
  • Expression with powers
    eq222_9 If x-1/x=5, find the value of x4+1/x4
  • Algebra
    parabol_3 X+y=5, find xy (find the product of x and y if x+y = 5)