Mensuration 3D

Quantitative Aptitude (CHSL)

Title

45:30

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38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of

such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]

This questions was previously asked in

SSC CHSL 24th May 2022 Shift-3

36 inches

32.5 inches

30 inches

32 inches

- The dimensions of the carton are given in inches: 48 inches long and 27 inches wide.

- To find the volume in cubic feet, convert these dimensions to feet: 48 inches = 4 feet and 27 inches = 2.25 feet.

- The given volume of the carton is 22.5 cubic feet.

- To find the height (in feet), use the formula for volume: Volume = Length × Width × Height.

- Substitute the values: 22.5 = 4 × 2.25 × Height.

- Solve for Height: Height = 22.5 / (4 × 2.25) = 2.5 feet.

- Convert the height back to inches: 2.5 feet = 30 inches.

- Option 3: 30 inches is the correct answer.