The answers to the five blanks are as follows;
1. 32,
2. 160,
3. 5,
4. 5, and
5. 15.
Step-by-step explanation:
Step 1; The volume of a rectangular box is given by multiplying the length, width and height of the box.
The volume of the first planter = length × width × height.
Length = 4 feet, Width = 4 feet and height = 2 feet.
The volume of the first planter = 4 × 4 × 2 = 32 cubic feet. This is the answer to the first blank.
Step 2; The volume can also be calculated by multiplying the area of the rectangle by its height.
The volume of the second planter = Area × height = 40 × 4 = 160 cubic feet. This is the answer to the second blank.
Step 3; [tex]\frac{thevolumeofthesecondplanter}{thevolumeofthefirst planter}[/tex] = [tex]\frac{160}{32}[/tex] = 5. So the second planter is 5 times bigger than the first planter. This is the answer to the third blank.
Step 4; So if the first planter needs 3 bags of soil, the second planter will need 5 times more than the first planter. This is the answer to the fourth blank.
So if the first planter needs 3 bags and the second planter is five times bigger it needs = 3 × 5 = 15 bags of potting soil. This is the answer to the fifth blank.
