The excavation

The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey?

Correct answer:

V =  250.8 m³
n =  56

Step-by-step explanation:

$$\begin{gathered} a=38\text{ m } \\ b=2.2\text{ m } \\ c=3\text{ m } \\ V=a\cdot b\cdot c=38\cdot 2.2\cdot 3=250.8{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} V_1=4.5{\text{m}}^3 \\ n=V\mathrm{/}{V}_1=250.8\mathrm{/}4.5=56 \end{gathered}$$

Try another example

Related math problems and questions:

• Soil pit
  Workers dug a pit cube with edge 2.5 meters. How many cars shall remove soil if the car suddenly take 4m³ of soil?
• The trench
  Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid, the top width is 3 meters, the lower width is 1.8 m, the depth of the excavation is 1 m, and the length is 20 m.
• Excavation
  Excavation for the base of the cottage has dimensions 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil.
• Basen
  How many square meters of tiles we need to tile the walls and floor of the pool 15 meters long, six meters wide and two meters?deep
• Stones in aquarium
  In an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
• Dana helped
  Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism that is 4 1/2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1/2 of a foot deep. Each bag contained 1/2 of a cubic foot of sa
• Rainfall
  How many liters of water did fell in a 32m long and 8m wide garden, if 8mm of rain fell?
• 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.
• Waste container eco
  The waste box has the shape of a block with dimensions of 1.8 m, 1.5 m, 1.2 m. 0.25 m³ of waste is added to it every day. How many days will it be filled?
• Hole
  They fill the shape hole with dimensions 2.9 m, 17 m, 15.2 m with 97 m³ of soil. How many percent does it fill up?
• How many
  How many cans of blue paint need to be bought if the interior of the garden pool, which is 5 m long, 3 m wide and 1 m deep, is to be painted? There is 1 kg of paint in each can. One can is enough for 8 m² of area.
• Air
  Room is 35.6 m long, 19.6 dm wide and 591 cm high. How many people can simultaneously be in this room if for hygiene reasons is calculated 5000 dm³ of air per person?
• Living room
  How many people can live in a room with dimensions: a = 4m b = 5m c = 2.5m if one person needs 15m cubic space (i. E. Air . .. )?
• Children's pool
  Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m² of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
• The wall
  We have to build a cuboid wall with dimensions base 30 cm and 45 cm and height 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m³ of wall?
• Fire tank
  How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water?
• Workers
  Workers digging a jump pit in the schoolyard. The pit has a cuboid shape with a length 12 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is need to excavate this pit?