Cuboid 5

Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m³).

Correct answer:

m =  0.528 kg

Step-by-step explanation:

$$\begin{gathered} a=12\text{ cm}\to \text{ m}=12\mathrm{/}100\text{ m}=0.12\text{ m } \\ b=0.8\text{ dm}\to \text{ m}=0.8\mathrm{/}10\text{ m}=0.08\text{ m } \\ c=100\text{ mm}\to \text{ m}=100\mathrm{/}1000\text{ m}=0.1\text{ m } \\ h=550{\text{kg/m}}^3 \\ V=a\cdot b\cdot c=0.12\cdot 0.08\cdot 0.1={\displaystyle \frac{3}{3125}}\doteq 0.001{\text{m}}^3 \\ m=h\cdot V=550\cdot 0.001=0.528\text{ kg} \end{gathered}$$

Try another example

Showing 2 comments:

Math student

You asked for the weight... in physics, weight is expressed in N not kg. You should know this!

2 years ago  Like

Dr Math

Thank you, we have corrected 'weight' to 'mass'.

2 years ago  Like

Related math problems and questions:

• Wood cuboid
  What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m³ wood weighs 800 kg?
• The body
  The body has dimensions of 2m, 2dm, and 10 cm. It weighs 28 kg. What is its density?
• Copper wire
  What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm, if the density of copper is 8.8 kg?
• The glass
  1 m³ of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm
• Wood prisms
  How many weight 25 prisms with dimensions 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
• Iceberg
  What is the surface area of 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
• Canister
  Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg and the weight of empty canister is 1.5 kg?
• Wood lumber
  Wooden lumber is 4 m long and has a cross section square with side 15 cm. Calculate: a) the volume of lumber b) the weight of the lumber if 1 m³ weighs 790 kg
• Oak trunk
  Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
• Cone from cube
  From a wooden block, 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m³
• 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.
• Unknown metal
  The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol.
• The square
  The square oak board (with density ρ = 700 kg/m³) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
• Copper Cu wire
  Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic.
• Density of the concrete
  Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
• Brick wall
  What is the weight of a solid brick wall that is 30 cm wide, 4 m long and 2 m high? The density of the brick is 1500 kg per cubic meter.
• Gasoline
  How many liters of gas is in the tank if its weight 15.4kg. Specific density of gasoline is 770kg/m³.