The volume of a wall which is 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m3. The breadth of the wall is |
40 cm 50 cm 60 cm 70 cm |
40 cm |
The wall is 5 times as high as it is broad, so h = 5b The wall is 8 times as long as it is high, so l = 8h volume of the wall is 12.8 m³ = 12800000 cm³ ( given ) Volume = Length × Height × Breadth 12800000 = l × h × b Now, substitute the expressions for "l" and "h" from the relationships above: 12800000 = (8h) × 5b × b 12800000 = (8 × 5b) × 5b × b 12800000 = 200 × b³ 64000 = b³ b = 40 cm |