A rectangular block of substance X has a length of 8 20 cm, breadth 10 cm and height 5 cm. The o mass of the block is 2.7 kg. If density of water is `1 g//cm^(3)` then, which of the following statements is correct?

Options

A. The block will float in water as its density is `0.027 g//cm^(3)`
B. The block will sink in water as its density is `2.7 g//cm^(3)`
C. The block will sink in water as its density is `2.7 kg//cm^(3)`
D. The block will float in water as its density is `0.0027 g//cm^(3)`

Answer

B

Explanation

Volume of the rectangular block `= 20 xx 10 xx 5 = 1000 cm^(3)`
Mass of the rectangular block `= 2.7 kg - 2700 g` Density of rectangular block = 2700/1000 `= 2.7g//cm^(3)` Density of the rectangular block of substance X is higher than that of water, therefore it will sink in water.