Final answer:
To calculate the volume of a rectangular prism, we multiply its length by its width by its height. Using four different multiplication sequences with the dimensions 10 ft, 8 ft, and 3 ft will yield the same volume due to the commutative and associative properties of multiplication.
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply its length, width, and height. Given the dimensions 10 ft, 8 ft, and 3 ft, we can use different multiplication orders to get the same result because multiplication is commutative, meaning that changing the order of the numbers does not change the product. Here are four different ways to calculate the volume:
- 10 ft × 8 ft × 3 ft
- 8 ft × 3 ft × 10 ft
- 3 ft × 10 ft × 8 ft
- (10 ft × 3 ft) × 8 ft
All four methods will give you the same volume because the associative property of multiplication allows us to group numbers in any order, and the result will remain the same.