Question

Mrs. Wilton is planning a rectangular flower box for her front window. She wants the flower box to hold exactly 16 cubic feet of soil.How many flower boxes with different-size bases will hold exactly 16 cubic feet of soil, using whole-number dimensions?flower boxes with different-size bases will hold exactly 16 cubic feet of soil. please no fake answers or you not getting nothing

Answer 1

13

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.