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.
Step-by-step explanation:
Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of
.
First, let us examine the volume of each of the blocks.
<u>For Block 1</u>
The dimensions are:
Volume of 1 block =
Volume of 6 blocks of dimension
<u>For Block 2 </u>
The dimensions are:
Volume of 1 block =
Volume of 9 blocks of dimension
The following statements out of Marissa's 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.