If 75 buckets of water of equal measure are taken out from the water of a cubical water-filled-tank, then 2\over5th of the water remains in the tank. If the length of one edge of the tank is 1.5 metres, then calculate the quantity of water in litre that can be held in each bucket.
WBBSE
Class X
Mathematics
Rectangular Parallelopiped or Cuboid
04 Mark
2024
Side of cube = 1.5 m
Volume of the tank = (1.5)³ = 3.375 m³
After removing 75 buckets of water, 2\over5th of the water remains in the tank.
So, the fraction of water taken out = 1 – 2\over5 = 3\over5
Volume of water taken out = 3\over5 × 3.375 = 2.025 m³
Volume of water in each bucket = 2.025 ÷ 75
= 0.027 m³ × 1000 [since, 1 m³ = 1000 litres]
= 27 litres
Hence, each bucket can hold 27 litres of water.
Related Questions
More WBBSE Moderate level questions
1/12
Q.
The inner length, breadth, and height of a tea box are 7.5 dm, 6 dm,...
A.
Inner dimensions: 7.5 dm × 6 dm × 5.4 dm Volume of...
Q.
Length of diagonal of a cube is 3 √3 cm. Find the volume of the...
A.
Let the side of the cube be a. diagonal = 3√3 cm,...
Q.
The length of the diagonal of each face of a cube is 6√2 cm. Find...
A.
Face diagonal = 6√2 ⇒ a√2 = 6√2 ⇒ a = 6...
Q.
Half of a cuboidal water tank with length of 2.1 m and breadth of 1.5...
A.
Length = 2.1 m Breadth = 1.5 m Base area = 2.1...
Q.
The sum of length, breadth and height of a cuboid is 10 cm and the...
A.
Let l, b, h be the length, breadth, and height of the...
Q.
If x be the number of edges of a parallelepiped and y be the number...
A.
A parallelepiped has 12 edges and 6 faces so x + y...
Q.
The length of the diagonal of a cube is 4√3 cm. Calculate the total surface...
A.
Diagonal = 4√3 ⇒ a√3 = 4√3 (where a = side) ⇒...
Q.
If the length, breadth, and height of a rectangular parallelopiped are equal, then the special...
A.
cube Explanation: When all three dimensions of a cuboid are equal, it...
Q.
Find the median of the data from the following distribution
A.
Class int Class boundary frequency (f) CF 0 - 9 0 -...
Q.
Find the mode from the following data
A.
The class with the highest frequency is 20 – 25, so it...
Q.
Difference of outer and inner curved surface area of a hollow cylindrical pipe is 44...
A.
Let the outer radius = R and length (h) = 14 cm...
Q.
The lower part of an ice-cream is conical and upper part is hemispheric with same...
A.
Cone height (h) = 9 cm, base radius (r) = 2.5 cm...