Complete question :
Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.
Answer:
1/2
Step-by-step explanation:
Number of block letters that will fit in :
Volume of box ÷ volume of each letter cube
Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³
Volume of box = length * width * height
Volume of box = 1 1/3 * 2/3 * 2/3
Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³
Therefore ;
8/27 ÷ 16/27
8/27 * 27/16
= 8/16
= 1/2
