Answer:
a) The greatest number of small toy boxes that can be packed is 1512.
b) The volume of the large box is 189 in³.
Step-by-step explanation:
a) We analyze the quantity of smaller boxes that fit in each side:
Width: 12 in ÷ 1/2 in= 24
Length: 4 1/2 in ÷ 1/2 in= 9
Height: 3 1/2 in ÷ 1/2 in= 7
So if we multiply each number we can get the quantity of small boxes:
24×9×7=1512 small boxes
b) The volume of the small box is:
V=(1/2 in)³=1/8 in³
Now, we multiply the volume of the small box by the total quantity of small boxes:
Total volume=1/8 in³×1512=189in³
A) The greatest number of small toy boxes that can be packed into the larger box for shipping is; 1512 small boxes
B) The volume of the shipping box is; 189 in³
a) Let us look at the quantity of smaller boxes that fit into each dimension to get:
Width: 12 in ÷ 1/2 in= 24
Length: 4 1/2 in ÷ 1/2 in= 9
Height: 3 1/2 in ÷ 1/2 in= 7
We now multiply each number to get the greatest number of small boxes:
24 × 9 × 7 = 1512 small boxes
b) Since each side of the cube shaped box measures 1/2 inche, then volume of cube shaped box is;
V = (1/2)³ = 1/8 in³
Thus, the volume of the shipping box. is:
Total volume = 1/8 in³ × 1512
Total volume = 189 in³
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