Answer:
Three different boxes will have a volume of 8 cubic feet
Step-by-step explanation:
The formula for the volume of box = Length, l × Breadth, b × Height, h
Where, the base size = l × b
The number of different boxes are;
l × b × h
1 × 1 × 8
1 × 2 × 4
2 × 4 × 1
2 × 2 × 2
1 × 8 × 1
Whereby the base are to be different, we note that the following;
1 × 8 × 1 = 1 × 1 × 8
1 × 2 × 4 = 2 × 4 × 1
Hence the different boxes with different bases that will have a volume of 8 ft³ are;
h × b × l
1) 1 × 1 × 8
2) 1 × 2 × 4
3) 2 × 2 × 2
Which are three different boxes with dimensions;
Box 1: Length = 8 ft, breadth = 1 ft., and height = 1 ft
Box 2: Length = 4 ft, breadth = 2 ft., and height = 1 ft
Box 3: Length = 2 ft, breadth = 2 ft., and height = 2 ft.
