Answer:
The volume will be 64 times larger.
Step-by-step explanation:
When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.
TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.
In case I explained it badly, here is a more mathematical method to find the answer:
The formula for volume:
V = l * w * h
When you multiply each dimension by 4:
V = (4 * l) * (4 * w) * (4 * h)
Rearrange with the Commutative Property of Multiplication:
V = (4 * 4 * 4) * (l * w * h)
Simplify:
V = 64 * l * w * h
Therefore, the volume is 64 times greater.