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<u>Correction To the Question</u>
- The dimensions of the 6 blocks stacked are
- The dimensions of the 9 blocks stacked are
.
Answer:
- (A)Six of the one-half cubes would have a volume of 3 cubic units.
- (D)Three of the one-third cubes will make 1 unit cube.
- (E)Two of the one-half cubes will make 1 unit cube.
- (F)Both stacks will have a volume of 3 cubic units.
Explanation:
Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of
.
First, we examine the volume of each block.
<u>Block 1</u>
The dimensions are:
Volume of 1 block =
Volume of 6 blocks of dimension
<u>Block 2</u>
The dimensions are:
Volume of 1 block =
Volume of 9 blocks of dimension
The following statements out of her claim are true:
- (A)Six of the one-half cubes would have a volume of 3 cubic units.
- (D)Three of the one-third cubes will make 1 unit cube.
- (E)Two of the one-half cubes will make 1 unit cube.
- (F)Both stacks will have a volume of 3 cubic units.