Excavation

Excavation for the base of the cottage 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.

Correct answer:

V =  10.935 m3

Step-by-step explanation:

a=4.5 m b=3.24 m c=60/100=35=0.6 m V1=a b c=4.5 3.24 0.6=2187250=8.748 m3 V=(1+1/4) V1=(1+1/4) 8.748=2187200=2187200 m3=10.935 m3



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • The excavation
    vykop 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 journe
  • Cuboid walls
    watertank The block's base is a rectangle whose sides have lengths in the ratio of 13: 7. Find the volume of the block in liters if the longer side of the base measures 65 cm, and the height of the block is 1.2 m
  • The trench
    vykop 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.
  • Base of house
    domcek_4 Calculate the volume of the bases of a square house, if the base depth is 1.2 m, the width is 40 cm and their outer circumference is 40.7 m.
  • Four prisms
    hranol4b 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 prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
  • Concrete box
    truhlik The concrete box with walls thick 7 cm has the following external dimensions: length 1.8 m, width 44 cm and height 46 cm. How many liters of soil can fit if I fill it to the brim?
  • The cuboid
    nadrz The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
  • Workers
    jumps 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?
  • Rainfall
    rain_6 A rectangular garden of 25m in length and width 20m in width fall 4mm of water. Express by a fraction in basic form what part of the 60-hectolitre tank we would fill with this water.
  • Water
    cylinder_1 Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
  • Flowerpot
    kvetinky_sestricky1 The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
  • The volume
    cuboid_17 The volume of a solid cylinder is 260 cm3 the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid
  • Building base
    base_of_building Excavation for the building base is 350x600x26000. Calculate its volume in m3.
  • Tetrapack
    tetrapack How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter?
  • Cardboard
    cuboid_14 How many m2 of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?
  • Cremons
    wagon The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm?
  • Truck of milk
    daf How many hectoliters of ,,the box" milk fit in the truck, ake cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.