A woman working in a company was supplied a rectangular solid (cuboid shape) of wax with dimensions 70 cm , 44 cm and 20 cm to prepare cylindrical candles, each 14 cm in diameter and 20 cm of height. Find the number of candles.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20.
Given that, length of rectangular solid = 70 cm
Breadth of rectangular solid = 44 cm
Height of rectangular solid = 20 cm
Diameter of candle = 14 cm
Radius of candle = 7 cm
Height of candle = 20 cm
Volume of cuboid = lbh
Volume of cylinder =
According to the given question,
Let the number of candles be x.
Volume of rectangular solid = x × Volume of candle
⇒ 70 × 44 × 20 = x ×
⇒ 70 × 44 = x × 22 × 7
⇒ 10 × 2 = x
⇒ x = 20
Hence the the number of candles is 20.