A rectangular container ,whose base is a square of side 6 cm , stands on a horizontal table and hold water up to 1 cm from top.When a cube is placed in the water and is completely submerged,the water rises to the top and 2cm×2cm×2cm of water overflows. Calculate the volume of the cube
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Answered by
168
Volume of cube
= Volume of rectangular container from the top up to 1cm + Volume of water overflowed from the container
= (1x6x6)cm^3 + 2cm^3
= 36cm^3 + 2cm^3
= 38cm^3
= Volume of rectangular container from the top up to 1cm + Volume of water overflowed from the container
= (1x6x6)cm^3 + 2cm^3
= 36cm^3 + 2cm^3
= 38cm^3
Answered by
35
The volume of the cube is 44 cm³.
Given data :
The length of the one side of the square base is 6 cm.
Water level distance from the top is 1 cm.
Overflowing water volume 2cm × 2cm × 2cm
• So,the volume of the cube will the total of the remaining volume to become a fully filled container and the the volume of overflowing water.
• Remaining volume to become a fully filled container = base area × remaining height from the top = 6×6×1 = 36 cm³
• Overflowing water volume = 2×2×2 = 8 cm³
• So,the volume of the cube = (36+8) = 44 cm³ (answer)
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