Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below. Answer questions 15 below. The combined volume of the three boxes is 1,197 cubic inches.
The area of one face of the medium box is 49 square inches.
The volume of the smallest box is 218 cubic inches less than the volume of the medium box.
1. What is the volume of the medium box? Explain.
The edge length of the medium box is
▼
StartFraction StartRoot 49 EndRoot Over 2 EndFraction comma
StartRoot 49 EndRoot comma
RootIndex 3 StartRoot 49 EndRoot comma
StartFraction 49 Over 2 EndFraction comma
which equals
nothing. The volume of the box is the edge length
▼
squared,
doubled,
tripled,
cubed,
which equals
nothing
▼
cubic inch(es).
inch(es).
square inch(es).
(Simplify your answers. Type exact answers using radicals as needed.)