A cube-shaped box that has a side length of 6 inches is placed inside a larger box with a side length of 7 inches then filled with packing foam. What is the volume of packing foam used?
First, let's calculate the volume of the cube-shaped box:
Volume = side length^3
Volume = 6^3
Volume = 216 cubic inches
Next, let's calculate the volume of the larger box:
Volume = side length^3
Volume = 7^3
Volume = 343 cubic inches
Now, let's calculate the volume of the packing foam used by subtracting the volume of the cube-shaped box from the volume of the larger box:
Volume of packing foam = Volume of larger box - Volume of cube-shaped box
Volume of packing foam = 343 - 216
Volume of packing foam = 127 cubic inches
Therefore, the volume of packing foam used is 127 cubic inches.
A botanist performs an experiment to determine the optimum amount of watering for fruit trees. The experiment uses 10 identical patches of dirt with the same type of fruit tree planted in each. The scientist gives each of the plants different amounts of water and measures how tall they grow every week for 20 weeks. Which of the following quantities in this experiment can be represented with a variable?
In this experiment, the following quantities can be represented with variables:
1. Amount of water given to each plant - This can be represented by a variable like "w" for the amount of water in liters.
2. Height of each plant - This can be represented by a variable like "h" for plant height in centimeters.
3. Number of weeks - This can be represented by a variable like "t" for the number of weeks.
4. Number of patches of dirt with fruit trees - This can be represented by a variable like "n" for the number of patches.
5. Type of fruit tree planted in each patch - This can be represented by a variable like "f" for the type of fruit tree.
Therefore, all of the listed quantities can be represented with variables in this experiment.
choose from
the type of soil
the type of fruit tree
the amount of water
the number of weeks
In this experiment, the quantity "the amount of water" can be represented with a variable. This is because the botanist is varying the amount of water given to each plant and measuring how it affects the growth of the fruit trees. The amount of water can be represented by a variable like "w" for the amount of water in liters.
A botanist performs an experiment to determine the optimum amount of watering for fruit trees. The experiment uses 10 identical patches of dirt with the same type of fruit tree planted in each. The scientist gives each of the plants different amounts of water and measures how tall they grow every week for 20 weeks. Which of the following quantities in this experiment can be represented with a variable?
Answers:
the type of soil
the type of fruit tree
the amount of water
the number of weeks
In this experiment, the following quantities can be represented with a variable:
1. The amount of water - This can be represented by a variable like "w" for the amount of water in liters.
2. The height of the fruit trees - This can be represented by a variable like "h" for plant height in centimeters.
3. The number of weeks - This can be represented by a variable like "t" for the number of weeks.
4. The number of patches of dirt with fruit trees - This can be represented by a variable like "n" for the number of patches.
Therefore, the quantities that can be represented with variables in this experiment are the amount of water, the height of the fruit trees, the number of weeks, and the number of patches of dirt with fruit trees.