Surface and volume

Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.

Correct answer:

V =  0.3 m³
S =  2.8 m²

Step-by-step explanation:

$$\begin{gathered} a=1\text{ m } \\ b=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ c=6\text{ dm}\to \text{ m}=6\mathrm{/}10\text{ m}=0.6\text{ m } \\ V=a\cdot b\cdot c=1\cdot 0.5\cdot 0.6=0.3{\text{m}}^3 \end{gathered}$$

$S=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (1\cdot 0.5+0.5\cdot 0.6+0.6\cdot 1)=2.8{\text{m}}^2$

Try another example

Related math problems and questions:

• Aquarium
  Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions of the aquarium are to be: width 50 cm, length 120 cm, and height 8.5 dm.
• Two cuboids
  Find the volume of the cuboidal box whose one edge is: a) 1.4m and b) 2.1 dm.
• Paper box
  Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm and 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes
• 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
• Metal box
  How much metal we need for the production of box with dimensions 5 dm, 30 cm and a height of 1 m? Add 12% of the waste and folds.
• Milk cartons
  How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box?
• Glass aquarium
  How many m² of glass are needed to produce an aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high?
• Surface area
  Calculate the surface area of a four-sides 2-m high prism which base is a rectangle with sides 17 cm and 1.3 dm
• Volume and surface area
  Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.
• Oak cuboid
  Oak timber is rectangular shaped with dimensions of 2m, 30 cm and 15 cm. It weight is 70 kg. Calculate the weight 1 dm³ of timber.
• Aquarium
  Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm?
• Cardboard
  How many m² of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?
• Empty aquarium
  How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms.
• Triangular prism
  Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm and height of the prism is 0.12 dm.
• Water tank
  What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reaches 10 cm below the top?
• Water level
  To cuboid-shaped poll, bottom size 2m and 3.5m; flows water at a rate of 50 liters per minute. How long will it take for water to reach level 50 cm?
• 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.