Cuboid - Vab

Find the surface of the cuboid when its volume is 52.8 cubic centimeters, and the length of its two edges is 2 centimeters and 6 centimeters.

Correct answer:

S =  94.4 cm²

Step-by-step explanation:

$$\begin{gathered} V=52.8{\text{cm}}^3 \\ a=2\text{ cm } \\ b=6\text{ cm } \\ {S}_1=a\cdot b=2\cdot 6=12{\text{cm}}^2 \\ c=V\mathrm{/}{S}_1=52.8\mathrm{/}12={\displaystyle \frac{22}{5}}=4.4\text{ cm } \\ S=2\cdot S_1+2\cdot c\cdot (a+b)=2\cdot 12+2\cdot 4.4\cdot (2+6)={\displaystyle \frac{472}{5}}={\displaystyle \frac{472}{5}}{\text{cm}}^2=94.4{\text{cm}}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Surface of cuboid
  Find the surface of the cuboid if its volume is 52.8 cm³ and the length of its two edges is 2 cm and 6 cm.
• Cuboid surface
  Determine surface area of cuboid if its volume is 52.8 cm cubic and length of the two edges are 2 cm and 6 cm.
• Cube 5
  The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• The cube
  The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges
• Cube V2S
  The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
• Rectangular cuboid
  The rectangular cuboid has a surface area 5334 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
• The cube
  The cube has a surface area of 486 m ^ 2. Calculate its volume.
• Edge c
  Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm².
• Cube 5
  The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm?
• Cube edges
  The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.
• Cuboid
  Cuboid has a surface of 516 cm². Side a = 6 cm and b = 12 cm. How long is the side c =?
• Of the
  Of the formula S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =?
• Third dimension
  Calculate the third dimension of the cuboid: a) V = 224 m³, a = 7 m, b = 4 m b) V = 216 dm³, a = 9 dm, c = 4 dm
• Find the
  Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a
• Surface and volume
  Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.
• Cuboid - edges
  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
• Area to volume
  If the surface area of a cube is 486, find its volume.