A brick has length (l), breadth (b) and height (h) in the ratio 1:2:3, the total surface area of the brick is 792 sq. m. Find its volume.
1296 m3
Given - I:b:h = 1:2:3
Let the length be x. Then b = 2x, h = 3x
As per question:
2(lb + bh + hl) = 792
2(2x2+6x2+3x2) = 792
⇒ 11 x2 = 7922
⇒ x2 = 39611 = 36
⇒ x = 6 m
l = 6m, b = 2 × 6 = 12m and h = 3 × 6 = 18m
Hence volume= lbh= 6×12×18 = 1296 m3