What's the answer to this please?
1 answer:
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we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).
If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.
There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.
Now the volume of rectangular box would also be 630 cubic inches.
We know the formula for volume of rectangular box = length × width × height.
So we need to find any three positive integers whose product is 630.
Out of all given choices, only option A satisfies the condition of factors of 630.
Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is negative
The y-intercept of the dashed line is 3
The x-intercept of the dashed line is 9
----> inequality B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is 2
The x-intercept of the dashed line is -2/3
The solution of the system of inequalities is the shaded area between the two dashed lines
see the attached figure
