A graphing calculator is recommended. A rectangular box with a volume of 2√2ft^3 has a square base as shown below. The diagonal of the box (between a pair of opposite corners) is 1 ft longer than each side of the base. ) Show that two different boxes satisfy the given conditions. Find the dimensions in each case, correct to the nearest hundredth of a foot. Solving the equation from part (a), we have the following (Enter your answers as a comma-separated list.) x= For the larger value of x, width = length ft height ft. For the smaller value of x, width = length ft heig

Question

A graphing calculator is recommended.  A rectangular box with a volume of  2√2ft^3   has a square base as shown below. The diagonal of the box (between a pair of opposite corners) is 1 ft longer than each side of the base. ) Show that two different boxes satisfy the given conditions. Find the dimensions in each case, correct to the nearest hundredth of a foot.  Solving the equation from part (a), we have the following (Enter your answers as a comma-separated list.) x=	  For the larger value of x, width = length    	  ft height    	  ft.  For the smaller value of x, width = length    	  ft heig