1.questionThe Volume of the large cube is 125 cubic inches.The volume of the small cube is 27 cubic inches.What is the difference between the length of one side of the large cube and the length of one side of the small cube?Show your work.2.questionA Collection of meteorites includes three meteorites that weight 1.1 x 10^2 grams,6.8 x10^0 grams,and 8.4 x 10^-2 grams.What is the difference between the mass of the heaviest meteorite and the mass of the lightest meteorite?Show work and write your answer in standard notation.

Question
Answer:
Part 1)
we have that

[volume of the cube]=b³---------> b=∛volume
where 
b is a length side of a cube

The Volume of the large cube is 125 in³ 
b=∛125------> 5 in

The volume of the small cube is 27 in³
b=∛27------> 3 in

the difference between the length of one side of the large cube and the length of one side of the small cube is
(5 in-3 in)------> 2 in

the answer Part 1) is
2 in

Part 2)
we have that
1.1 x 10^2 grams-------> 110 grams
6.8 x10^0 grams--------> 6.8 grams
8.4 x 10^-2 grams-----> 0.084 grams

the difference between the mass of the heaviest meteorite and the mass of the lightest meteorite is
(110 -0.084)=109.916 grams-------> 109916 x 10^-3 grams

the answer Part 2) is
109916 x 10^-3 grams

solved
general 4 months ago 5765