Which is the right answer !
2 answers:
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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.
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
c² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
c = ← exact solution → C
Note that the Area of a rectangle is given by
Area = LB
Where L is the Length (the longer side) and B is the Breadth (or Width which is the shorter side).
From the image, L is (x+6).
Also from the image, B is (x+2)
This implies:
Open up the bracket by multiplying both terms:
Since the question says to leave it in polynomial form, that is your answer. Hope I helped? ☺️
Area = LB
Where L is the Length (the longer side) and B is the Breadth (or Width which is the shorter side).
From the image, L is (x+6).
Also from the image, B is (x+2)
This implies:
Open up the bracket by multiplying both terms:
Since the question says to leave it in polynomial form, that is your answer. Hope I helped? ☺️