Question

A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be the lengths of the diagonals of the rhombus?

Answer 1

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

=$1/2 * d_{1}* d_{2} *6$

144=(144*2)/6 * $d_{1} d_{2}$

(144*2)/6=$d_{1} *d_{2}$

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.

Learn more about volume at brainly.com/question/463363

#SPJ4