The general expression for the surface area of cube is 6 side²
The given surface area are : 375 and 450 square centimeter
Substitute the 375 in the expression of surface area of cube :
Surface area of square prism = 375
6 side² = 375
side² = 375/6
side² = 62.5
side = 7.9 cm
Surface area of the square prism = 450
6 side² = 450
side² = 450/6
side² = 75
side = 8.66 cm
The side of the square prism must lie in between 7.9 cm to 8.66 cm
In the given option only 8 centimeter will lie.
The square prism of side 8 cm has surface area lie in between 375 and 450 square centimeters
Answer : D) 8 centimeter