MATH CONNECTION - Sun, Earth and Moon Systems

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Earth, Sun, and Moon
Earth and Space
Level B
Madison is building a replica of Earth, the Moon, and the Sun. She is given only 1 set of
guidelines: the sizes for Earth, the Moon, and the Sun. She has decided to be creative and put
the planets inside clear rectangular prisms as display boxes. Use the information to answer
questions 1-6.
“The volume of the Sun’s display box has to be exactly 64 cubic inches, and all the sides are the
same size.”
1. What are the length, width, and height in inches of the Sun’s display box?
2. If Madison increased each dimension by 2 inches, what would be the new volume?
“Earth’s display box length and width are the same and 1 inch less than the height. The height
must be 5 inches.”
3. What is the area of the base (length x width)?
4. What is the volume of Earth’s display box?
“The area of the base of the Moon’s display box is 9 square inches. The base is a square and
the height is two inches.”
5. What are the length and width of the Moon’s display box in inches?
6. What is the volume of the Moon’s display box?
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Earth, Sun, and Moon
Earth and Space
Level B
7. Anthony learned that the gravitational pull of the Moon is the reason there are tides on Earth.
If there is a high tide about every 12 hours and 25 minutes, how long would it take to see 2
high tides?
8. The Moon is full of craters. Anthony and his 2 friends stayed awake one summer evening
counting different craters with a telescope. Anthony and his friends were able to count 774
different craters. If it took them 6 hours to count all of the craters, and each person counted
an equal amount, how many craters did they each count per hour?
9. Anthony reads that there have been 136 shuttle launches to space over the past 30 years. If
2 or 3 astronauts have gone into space with every shuttle launch, which of the following could
be a possible number of astronauts that have been launched into space over the past 30
years?
A. 270
B. 410
C. 4,080
D. 353
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