How many flower boxes with different-size bases will hold exactly 16 cubic feet of soil, using whole-number dimensions?

13

Step-by-step explanation:

Since the volume = 16 cubic foot and the volume of a rectangular box = lbh were l = length, b = breadth and  = height. We need to write 16 as a product of 3 numbers. So,

16 = 4 × 4 = 2 × 2 × 4

16 = 4 × 2 × 2

16 = 2 × 4 × 2

16 = 1 × 4 × 4

16 = 4 × 1 × 4

16 = 4 × 4 × 1

16 = 1 × 1 × 16

16 = 16 × 1 × 1

16 = 1 × 16 × 1

16 = 2 × 1 × 8

16 = 1 × 2 × 8

16 = 8 × 1 × 2

16 = 1 × 8 × 2

Since we ave 13 different combinations, then we ave 13 different flower boxes with different-size bases that can hold 16 cubic feet of soil.

13

Step-by-step explanation:

Since the volume = 16 cubic foot and the volume of a rectangular box = lbh were l = length, b = breadth and  = height. We need to write 16 as a product of 3 numbers. So,

16 = 4 × 4 = 2 × 2 × 4

16 = 4 × 2 × 2

16 = 2 × 4 × 2

16 = 1 × 4 × 4

16 = 4 × 1 × 4

16 = 4 × 4 × 1

16 = 1 × 1 × 16

16 = 16 × 1 × 1

16 = 1 × 16 × 1

16 = 2 × 1 × 8

16 = 1 × 2 × 8

16 = 8 × 1 × 2

16 = 1 × 8 × 2

Since we ave 13 different combinations, then we ave 13 different flower boxes with different-size bases that can hold 16 cubic feet of soil.

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.