Mathematics
Suppose the length of a rectangular box is 7 cm and breadth is 11 cm. Find the volume if the height is (i) 5 cm, (ii) 9 cm, (iii) 13 cm. Find the linear pattern representing the volume of the rectangular box.
Answer
Length of the rectangular box = 7 cm
Breadth of the rectangular box = 11 cm
Volume of a rectangular box = length × breadth × height
= 7 × 11 × height
= 77 × height
(i) Height = 5 cm
Volume = 77 × 5 = 385 cm3
(ii) Height = 9 cm
Volume = 77 × 9 = 693 cm3
(iii) Height = 13 cm
Volume = 77 × 13 = 1001 cm3
In general, if the height of the box is h cm, the volume will be 77h cm3.
Hence, the linear pattern representing the volume of the rectangular box is 77h, where h is the height in cm.
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