Mathematics
A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 15 cm × 12 cm, find the rise in the water level in centimeters correct to 2 decimal places, assuming that no water over flows.
Mensuration
56 Likes
Answer
Let rise in height of water be h cm.
The volume of water rising will be equal to volume of cube.
∴ 15 × 12 × h = 11 × 11 × 11
180h = 1331
h = = 7.39 cm.
Hence, the rise in the water level is 7.39 cm.
Answered By
19 Likes
Related Questions
The internal measurements of a box are 10 cm long, 8 cm wide and 7 cm high. How many cubes of side 2 cm can be put into the box?
Two cubes, each with 12 cm edge, are joined end to end. Find the surface area of the resulting cuboid.
A certain quantity of wood costs ₹250 per m3. A solid cubical block of such wood is bought for ₹182.25. Calculate the volume of the block and use the method of factors to find the length of one edge of the block.
A rectangular container, whose base is a square of side 6 cm, stands on a horizontal table and holds water up to 1 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 2 cm3 of water over flows. Calculate the volume of the cube.