Juice is sold in a rectangular prism measuring 11 cm by 6 cm by 4 cm. A cube is built to hold the same volume. By how much does the surface area decrease? Give answer to 1 decimal place.

Answer 1

Surface area of original
= 2(11)(6) + 2(11)(4) + 2(6)(4) cm^2
= 268 cm^2
volume of original
= (11)(6)(4) cm^3
= 264 cm^3

For a cube to hold 264 cm^3, each side must
be 264^(1/3) or 6.415... cm long
surface area of the cube
= 6(6.415...)^2
= appr 246.92 cm^2 (I only rounded here)

so the decrease is .....

Answer 2

21.1