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.

Correct answer:

S =  94.4 cm²

Step-by-step explanation:

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

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 - 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.
• Cube 5
  The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• Cuboid
  Cuboid has a surface of 516 cm². Side a = 6 cm and b = 12 cm. How long is the side c =?
• 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.
• The surface
  The cuboid's surface area is 1714 cm², the edges of the base are 25 cm and 14 cm long. Find the area of the surface.
• Prism 4 sides
  Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm
• Two rectangular boxes
  Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
• Cuboid - simple
  Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm and c = 6 cm.
• Surface and volume
  Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.
• Sum of the edges
  The sum of the lengths of all edges of the cube is 72 cm. How many cm² of colored paper are we going to use for sticking?
• Cube edge
  Determine the edges of the cube when the surface is equal to 37.5 cm square.
• 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.
• Edges or sides
  Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
• Ratio-cuboid
  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.
• Volume and surface area
  Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.