Respuesta :
If the height of prism is 6 inches and the volume is 144 cubic inches then the lengths of the diagonals of the rhombus will be 6 by 8 inches.
Given right prism has a rhombus as a base. Height of prism is 6 inches and the volume of prism is 144 cubic inches.
A right prism is a prism in which the edges and faces are perpendicular to the base faces.
Volume is the amount of substance a container can hold in its capacity.
Volume of right prism=area of base* height
=[tex]1/2 * d_{1}* d_{2} *6[/tex]
144=(144*2)/6 * [tex]d_{1} d_{2}[/tex]
(144*2)/6=[tex]d_{1} *d_{2}[/tex]
By options we get that the lengths of diagonals could be 6 inches by 8 inches.
Hence the length of diagonals be 6 inches and 8 inches.
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Answer: Hence the length of diagonals be 6 inches and 8 inches.
Step-by-step explanation:
(edg) got it right on test
