Robert sketches two rectangular prisms, A and B. Prism A's side lengths are 5 centimeters, 6 centimeters, and 7 centimeters. Prism B's side lengths were twice those of prism A's: 10 centimeters, 12 centimeters, and 14 centimeters. Robert says the surface area of prism B is twice the surface area of prism A. Is he correct? If he is not, how many times as great as prism A's surface area is prism B's surface area? Show your work.​

Step-by-step explanation:

Area is the product of two dimensions.

If each dimension is doubled, then the area becomes 2*2 = 4 times greater.

If each face is 4 times greater, then their sum will be 4 times greater.

The sum of the faces is the total surface area, therefore the B's surface area is 4 times as great as A's surface area.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.