1.

Find the volume, total surface area, lateral surface area and the length of diagonal of a cube, each of whose edges measured 20 cm

Answer» Here, a = 20 cm
Volume of the cube `= a^(3)` cubic units
`= (20xx 20xx 20) cm^(3) = 8000 cm^(3)`
Total surface area of the cube `= (6a^(2))` sq units
`= (6 xx 20 xx 20) cm^(2) = 2400 cm^(2)`
Lateral surface area of the cube `= (4a^(2))` sq units
`= (4 xx 20 xx 20) cm^(2) = 1600 cm^(2)`
Diagonal of the cube `= (sqrt3a)` units
`= (sqrt3 xx 20) cm = (1.732 xx 20) cm`
= 34.64 cm


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