Sonjia has a box in the shape of a right rectangular prism. The box has a width of 5 cm. If the height of the box is 2 cm greater than the box’s length and the box’s length is 2 cm greater than the box’s width, what is the volume of the box?

Answer 1

Let's denote the length of the box as L and the height as H.

Given that the width is 5 cm, we have:
L = 5 + 2 = 7 cm
H = 7 + 2 = 9 cm

Now, we can calculate the volume of the box:
Volume = Length x Width x Height
Volume = 7 cm x 5 cm x 9 cm
Volume = 315 cm³

Therefore, the volume of the box is 315 cubic centimeters.