Marissa claims that stacking 6 blocks with dimensions of 5x1x1 will give the same volume as stacking 9 blocks with

dimensions of 1x1 Which statements about her claim are true? Check all that apply.

A. Six of the one half cubes would have a volume of 3 cubic units.

B. Nine of the one-third cubes would have a volume of 6 cubic units.

C. Since 1/2 and 1/3 do not have common factors, stacks of one-half cubes and stacks of third cubes could never have the same

volume.

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.

The statements that 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.

Step-by-step explanation:

Complete, Correct Question

Marissa claims that stacking 6 blocks with dimensions of (½×1×1) will give the same volume as stacking 9 blocks with

dimensions of [(1/3)×1×1] Which statements about her claim are true? Check all that apply.

Before checking the statements, we first find the volume of both cars of blocks

Volume of a cuboid block = lbh

For block A, volume = (1/2) × 1 × 1 = (1/2) cubic units

6 block A's will have a volume of 6 × (1/2) = 3 cubic units.

For block B, volume = (1/3) × 1 × 1 = (1/3) cubic units

9 block B's will have a volume of 9 × (1/3) = 3 cubic units.

Now checking the statements one at a time

A. Six of the one half cubes would have a volume of 3 cubic units.

As calculated above, this is true.

B. Nine of the one-third cubes would have a volume of 6 cubic units.

This is false. 9 of the one-tailed cubes has a volume of 3 cubic units too not 6 cubic units.

C. Since 1/2 and 1/3 do not have common factors, stacks of one-half cubes and stacks of the two cubes could never have the same volume.

From the calculation before analysing the statements, the two stacks mentioned had the same total volume of 3 cubic units. Hence, it shows this statement is false.

D. Three of the one-third cubes will make 1 unit cube.

3 one-third cubes will have a volume of

3 × (1/3) = 1 cubic unit. This statement is true.

E. Two of the one-half cubes will make 1 unit cube.

2 one-half cubes will have a volume of

2 × (1/2) = 1 cubic unit. This statement is true.

F. Both stacks will have a volume of 3 cubic units.

From previous calculation before analysing the statements one at a time, this is true. The total volume of both stacks mentioned today is 3 cubic units.

Hope this Helps!!!

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

5/12, or 5: 12

step-by-step explanation: