Julias rectangular prism

Question

julia needs to make a book shaped of a rectangular prism with a height of 3 inches and a volume of 243 cubic inches. The dimension, in inches, must be whole numbers greater that 1.

Julia claims that the length and width of the box must be equal.

Part a

what dimensions would support Julia's claim about the length and width of the box?enter your answers in the boxes labeled part a

part a length:

part a width:

part b

what dimensions would not support Julia's claim about the length and width of the box? Enter your answer in the boxes labeled part b

part b length:

Part b width:

Answer 1

The volume off a rectangular prism is height x length x width. The height is 3 and since the length and width are equal we can call them both x so we have an equation

243 = 3(x)^2

x^2 = 81 so length and width would be 9 each