Volume and body diagonal

Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?

Correct answer:

p₁ =  44.8632 %
p₂ =  18 %

Step-by-step explanation:

$$\begin{gathered} p=18\mathrm{\%} \\ q=1-p\mathrm{/}100=1-18\mathrm{/}100={\displaystyle \frac{41}{50}}=0.82 \\ {p}_1=100\cdot (1-q^3)=100\cdot (1-0.82^3)=44.8632\mathrm{\%} \end{gathered}$$

$p_2=p=18=18\mathrm{\%}$

Try another example

Related math problems and questions:

• Cube zoom
  How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
• Reduce of the volume
  Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.
• Cuboid enlargement
  By how many percent increases the volume of cuboid if its every dimension increases by 30%?
• Surface area 2
  Calculate how many % reduce the surface area of the cube is we reduced length of each edge by 10%.
• Cuboid
  Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges.
• Cylinders
  The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
• Box
  Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Body diagonal
  Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Water tanks
  A different amount of water is poured into each of the three identical vessels. In the first vessel, water fills 30% of its volume and in the second vessel 40% of its volume. The third container contains 19 liters of water. If we distributed the water fro
• Property
  The length of the rectangle-shaped property is 8 meters less than three times of the width. If we increase the width 5% of a length and lendth reduce by 14% of the width it will increase the property perimeter by 13 meters. How much will the property cost
• How many 9
  How many percent volume remain of a sphere if diameter decrease 3×?
• Meat loses
  Meat loses 18% of its weight by smoking. How much raw meat butcher used to manufacture 35 kilos of smoked?
• Ratio-cuboid
  The lengths of the edges of the cuboid are in the ratio 2: 3: 6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid.
• Rotation
  The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Concrete block
  Determine the volume of concrete block whose one edge of the base has a length 3 meters, body diagonal is 13 meters and its height is 12 meters.
• Sphere fall
  How many percent fall volume of a sphere if diameter decreases 3×?
• Angle of diagonal
  The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.