The volume of wood required to make a closed box of thickness 2 5 cm with external dimensions i...........

Quantitative Aptitude (CPO) Mensuration 3D

The volume of wood required to make a closed box of thickness 2.5 cm with external dimensions $90cm\times 75cm\times 50cm$ is:

This questions was previously asked in

SSC CPO 14th-March-2019-Shift-2

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69750 cm³

49050 cm³

36170 cm³

46720 cm³

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Explanation:

Length,L=90cm, Breadth,B=75cm, Height,H=50cm
Thickness=2.5cm
Volume of Outer box=L × B × H = 90 × 75 × 50
Volume of Outer box=337500
To find the volume of inner box subtract thickness
new Dimensions are
L′ = 90 − 5 = 85cmThickness=2.5cm
B'=75-5=70cm
B'=50-5=45cm
Volume of inner box= L′ × B′ × H′ = 85 × 70 × 45
Volume of inner box=267750 cm³
Volume of wood=Volume of outer box-Volume of inner box
Volume of wood=337500-267750=69750 cm³