You should come up with the following substitution for the length of the side of square such that:
`l = x`
You need to evaluate the volume of rectangular block of wood such that:
`V = 24x^2`
The ornament is formed from two spheres and two cubes, hence, the volume of ornament may be evaluated such that:
`V_1 = 2V_s + 2V_c`
You need to evaluate the volume of the sphere, using the provided information, such that:
`V_s = (4/3)pi*x^3`
You need to evaluate the volume of cube such that:
`V_c = x^3`
`(4/3)pi*x^3 + x^3 = 24x^2 => x^3*(4/3 pi + 1) = 24 x^2`
`x = 24/(4/3 pi + 1)`
`V_1 = (8/3)pi*(24/(4/3 pi + 1))^3 + (24/(4/3 pi + 1))^3`
Hence, evaluating the volume of ornament yields `V_1 = (8/3)pi*(24/(4/3 pi + 1))^3 + 2*(24/(4/3 pi + 1))^3.`
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