Question

The cube and the rectangular prism below have the same volume. Find the height of the rectangular prism to the nearest tenth.

Answer 1

Answer:

h = 6.1 cm

Step-by-step explanation:

Volume of cube and rectangular prism:

         Cube:

              edge = a = 8 cm

              $\sf \boxed{\text{Volume of cube = a^3}}$$\sf \boxed{\text{Volume of cube = a^3 }}$

        Rectangular prism:

                 l = 14 cm ; w = 6 cm

                   $\sf \boxed{\text{Volume of rectangular prism=lwh}}$

Volume of rectangular prism = volume of cube

                 14 * 6 * h   = 8 * 8 *8

                             $\sf h =\dfrac{8 * 8 * 8}{14 * 6}\\\\ h = \dfrac{128}{21}$

                             h = 6.1 cm