Cuboid edges

The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.

Correct answer:

a =  6 m
b =  9 m
c =  12 m

Step-by-step explanation:

S=468 m2 a=2x b=3x c=4x  S=2(ab+bc+ca) S=2(2 3+3 4+4 2) x2  x=S2 (2 3+3 4+4 2)=4682 (2 3+3 4+4 2)=3 m  a=2 x=2 3=6 m
b=3 x=3 3=9 m
c=4 x=4 3=12 m

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Check out our ratio calculator.

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

Related math problems and questions:

  • Cuboid edges in ratio
    cuboid_11 Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
  • Cuboid - ratio
    cuboid_3colors Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm2.
  • Cuboid - edges
    kvader_abc The cuboid has dimensions in ratio 4: 3: 5, the shortest edge is 12 cm long. Find: (A) the lengths of the remaining edges, (B) the surface of the cuboid, (C) the volume of the cuboid
  • 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 edges
    cuboid_3 Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2: 3: 4 and the longest edge measures 10cm.
  • Find the
    cuboid_1 Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a
  • Base of prism
    hranol3b The base of the perpendicular prism is a rectangular triangle whose legs length are at a 3: 4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm2.
  • Cuboid - ratios
    kvader11 The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall has an area of 54 cm2. Calculate the surface area and volume of this cuboid.
  • Three gardens
    land_7 Is it possible to divide a plot of land with an area of 920 m2 into three gardens in a ratio of 4: 2: 3 so that their areas are only whole multiples of square meters?
  • Cuboid and ratio
    kvader Cuboid has dimensions in ratio 1:2:6 and the surface area of the cuboid is 1000 dm2. Calculate the volume of the cuboid.
  • Two gardens
    garden The total area of the two gardens is 864 m2. The first garden is 60 m2 smaller than three times the second garden. What is the area of each garden?
  • Ratio-cuboid
    hranol222 The lengths of the edges of the cuboid are in the ratio 2: 3: 6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid.
  • 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.
  • Regular 4-sided pyramid
    jehlan Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
  • Cuboid
    kvader11 The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
  • Top-open tank
    vedro The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m3, the radii of the bases are 4 m and 3 m. Find the depth of the tank.
  • Two lands
    pozemky The common area of the two neighboring lands is 964 m2. The second land is 77 m2 smaller than twice the size of the first land. Find the areas of each land.