1.

A rectangular box with lid is made up of certain metal sheet of thickness 1 cm. Its outer dimensions are 50 cm, and 20 cm. If the weight of the metal is 4 g `cm^(3)`, then the weight of the box is ______.A. 26,872gB. 28,762 gC. 28,672 gD. 26,782 g

Answer» Correct Answer - C
The outer dimensions of the box are 50 cm, 40 cm, and 20 cm. The thickness of metal = 1 cm.
`therefore" The inner dimensions of the box are"(50-2) cm`,
`(40-2) cm, and (20-2)` cm, i.e., 48 cm, 38 cm, and 18 cm.
`"Outer volume of the box"=50xx40xx20=40,000cm^(2)`
`"Inner volume of the box"=48xx38xx18=32,832cm^(3)`
`"Volume of the metal sheet"=40,000-32832=7168cm^(3)`
`"Weight of the box"=7168xx4=28672 g`


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