Respuesta :
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Volume of right prism = 144 cubic inches
Right prism has a rhombus as a base.
Height of the prism = 6 inches
As we know the formula for "Volume of right prism":
[tex]Volume=\text{Area of base}\times height\\\\144=\frac{1}{2}\times d_1\times d_2\times 6\\\\\frac{144\times 2}{6}=d_1\times d_2\\\\48=d_1\times d_2[/tex]
By option we get that
lengths of diagonals could be 6 inches by 8 inches
∵ 8×6 = 48 in²
Hence, Third option is correct.