Iron pole

What is the mass of pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm make from iron with density ρ = 7800 kg/m³?

Correct result:

m =  15.795 kg

Solution:

$$\begin{gathered} \rho =7800{\text{kg/m}}^3 \\ c=1\text{ m } \\ a=4.5\text{ cm}\to \text{ m}=4.5\mathrm{/}100\text{ m}=0.045\text{ m } \\ V=a^2\cdot c=0.045^2\cdot 1={\displaystyle \frac{81}{40000}}\doteq 0.002{\text{m}}^3 \\ m=\rho \cdot V=7800\cdot 0.002={\displaystyle \frac{3159}{200}}={\displaystyle \frac{3159}{200}}\text{ kg}=15.795\text{ kg} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Iron fence
  One field of iron fence consists of 20 iron rods with square cross-section of 1.5 cm side and a long 1 meter. How much weight a field if the density of iron is 7800 kg/m³.
• 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
• Steel tube
  The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m3. Calculate its length if it weighs 15 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.
• 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
• Glass door
  What is the weight of glass door panel 5 mm thick height 2.1 meters and a width of 65 cm and 1 cubic dm of glass weighs 2.5 kg?
• 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).
• 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?
• The body
  The body has dimensions of 2m 2dm and 10 cm. It weighs 28 kg. What is its density?
• 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.
• Sand loading
  The truck with a load capacity of 7 tons has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand so that the load capacity of the car is not exceeded?
• Copper sheet
  The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m³ weighs 8715 kg?
• 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?
• Copper plate
  Calculate the thickness of the copper plate with a density 8.7 g/cm³ measuring 1.5 meters and 80 cm and its weight is 3.65 kg
• Wood cuboid
  What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m³ wood weighs 800 kg?
• Air mass
  What is the weight of the air in a classroom with dimensions 10 m × 10 m × 2.7 m ? The air density is 1.293 kg/m³.
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The base of the prism is a rhombus with a side length of 30 cm and a height of 27 cm. The heig