Question

The total surface area of a tank in which the length, breadth and hieght are in the ratio 2:2:1 is 5.76m². Find the length of the tank's diagonal.​

Answer 1

Answer:

2560 cm^3

Step-by-step explanation:

Kind of a fun question because you’re starting with area which is a square and then converting a to a cubic. Surface area of a cuboid is basically 2 of each rectangle created by the measurements sides. The sides are created by taking the missing factor (x) in the 5:4:2 proportion, solve for x and you have the lengths and then the volume is easy.

2(2x*4x + 2x*5x + 4x*5x) = 1216 cm^2

8x^2 + 10x^2 + 20x^2 = 608 cm^2

38x^2 = 608 cm^2

x^2 = 16 cm^2

x=4 cm

8 cm * 16 cm * 20 cm = 2560 cm^3

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