1.

The length, breadth and height of a rectangular box are as 1:2:3. Find the volume of the box,when its surface area is 1078 m square

Answer»

Let length, breadth and height be
L = y, B = 2Y and H = 3y respectively
Given,
2×(LB+LH+BH) = 1078
2×(y × 2y + y × 3y + 2y × 3y) = 1078
2×11y² = 1078
y = 7

Thus, L = 7 m, B = 14 m, H = 21 m
Therefore, volume = LBH = 7×14×21 = 2058 m³



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