The sides of a rectangular prism are in the ratio 4:5:6. If the volume of the prism is 960 cm³ what is the length of its longest side?
Given:
The sides of a rectangular prism are in the ratio 4 : 5 : 6.
Volume of the prism = 960 cm³
Formula Used:
Volume of rectangular prism = length × breadth × height
Solution:
Let the sides of the prism be 4x, 5x and 6x.
Volume = 4x × 5x × 6x = 120x³
Given volume = 960 cm³
120x³ = 960
x³ = 8
x = 2
Thus, the sides are:
4x = 8 cm
5x = 10 cm
6x = 12 cm
The longest side of the prism is 12 cm.
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