The measures of the outer dimensions of a closed metal box are given as 15 cm x 18 cm x 8 cm The thi...........

Quantitative Aptitude (MTS) Mensuration 3D

The measures of the outer dimensions of a closed metal box are given as 15 cm x 18 cm x 8 cm. The thickness of the metal is

1.5 cm. What will be the volume of the metal required to make the box?

This questions was previously asked in

SSC MTS 7th July 2022 Shift-3

1680 cm³

950 cm³

1440 cm³

1260 cm³

To find the volume of the metal, you need to calculate the difference between the volume of the outer box and the inner box.

- Outer dimensions of the box are 15 cm x 18 cm x 8 cm.

- Volume = 15 x 18 x 8 = 2160 cm³.

- Inner dimensions: Reduce each dimension by twice the thickness (1.5 cm x 2 = 3 cm).

- New dimensions = 12 cm x 15 cm x 5 cm.

- Volume = 12 x 15 x 5 = 900 cm³.

- Volume of the metal = Outer Volume - Inner Volume

- 2160 cm³ - 900 cm³ = 1260 cm³.

- Options:

- Option 1: 1680 cm³

- Option 2: 950 cm³

- Option 3: 1440 cm³

- Option 4: 1260 cm³

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