Final answer:
To find the amount of packing peanuts that Josh would be able to fit into the box, we need to calculate the volume of the box. The volume of a rectangular box is given by multiplying its length, width, and height. In this case, the base area of the box is given as 70 ft², so the length times width is equal to 70 ft². Therefore, Josh would be able to fit 210 ft³ of packing peanuts into the box.
Step-by-step explanation:
To find the amount of packing peanuts that Josh would be able to fit into the box, we need to calculate the volume of the box.
The volume of a rectangular box is given by multiplying its length, width, and height. In this case, the base area of the box is given as 70 ft², so the length times width is equal to 70 ft².
Let's assume the length as L, the width as W, and the height as H.
According to the information given, the height of the box is 3 feet. So, we have H = 3 feet.
Since the base area is 70 ft², we have L * W = 70 ft².
Dividing both sides of the equation by L, we get W = 70/L.
Now, we can substitute the values of W and H into the formula for the volume of a rectangular box.
Volume = L * W * H = L * (70/L) * 3 = 210 ft³
Therefore, Josh would be able to fit 210 ft³ of packing peanuts into the box.