Question

Rita is playing a game by rolling a rectangular prism made up of cubes. The prism is 6 cubes wide, 3 cubes high, and 4 cubes deep. Rita rolls the cube and says that the top view is a 6-unit by 4-unit rectangle. Which statement explains whether Rita could be correct? Rita could be correct because the cube could land so the 3-cube height and the 4-cube depth make up the top face of the cube. Rita could be correct because the cube could land so the 6-cube width and the 4-cube depth make up the top face of the cube. Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 4-cube depth. Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 3-cube height.

Answer 1

Correctly arranged question is;

Rita is playing a game by rolling a rectangular prism made up of cubes. The prism is 6 cubes wide, 3 cubes high, and 4 cubes deep. Rita rolls the cube and says that the top view is a 6-unit by 4-unit rectangle.

Which statement explains whether Rita could be correct?

A) Rita could be correct because the cube could land so the 3-cube height and the 4-cube depth make up the top face of the cube.

B) Rita could be correct because the cube could land so the 6-cube width and the 4-cube depth make up the top face of the cube.

C) Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 4-cube depth.

D) Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 3-cube height.

Answer:

Option B: Rita could be correct because the cube could land so the 6-cube width and the 4-cube depth make up the top face of the cube.

Step-by-step explanation:

We are told the dimensions of the prism are;

Width = 6 cubes wide

Height = 3 cubes high

Depth = 4 cubes deep.

We are further told that when she rolls that the top view is a 6-unit by 4-unit

For the top view to be 6 unit x 4 unit, it means that the top face is showing the width and depth sides from the dimensions we were earlier given.

Therefore, from the options given, the only one that depicts what I just explained is Option B which says:

The cube could land in such a way that the top face is made up of the 6-cube width and the 4-cube depth