Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?
A.
Yes. For every block of width, he could build two blocks high.
B.
Yes. He could use half as many blocks for the height as the width.
C.
There is no way to determine if he can do this.
D.
No, it is not possible to do this.
B. Yes. He could use half as many blocks for the height as the width.
A. Yes. For every block of width, he could build two blocks high.
The correct answer is A. Yes. For every block of width, he could build two blocks high.
To determine if Roger can build a shed that is twice as high as it is wide, we need to analyze the relationship between the width and the height.
The statement "twice as high as it is wide" means that the height is twice the width. In other words, if we let the width be represented by "x," then the height would be "2x".
Since the blocks that Roger is using are cubic prisms, each side of the cube represents the same length. Thus, if the width of the block is "x", it implies that the height and length are also "x".
To build a shed that is twice as high as it is wide, Roger can stack one block of width "x" on top of another block of width "x". This makes the height "2x".
In this way, for every block of width, he could build two blocks high, satisfying the condition of the shed being twice as high as it is wide.
Therefore, the correct answer is A. Yes. For every block of width, he could build two blocks high.