Question

the height is 3 layers.the volume is 24 cubic units. the height of 3 times the top layer of 8 (length times width) equals 24.can you write a formula for calculating the volume of a rectangular prism?because of the commutative property of multiplication, will it matter what order you use when multiplying the length, width and height?compute the volume of both of these rectangular prisms.① 2 yards, 2 yards, 4 yards$(l \times w) \times h = (2 \times 2) \times 4 = 16$volume = 16 cubic yards② 3 in, 3 in, 3 involume = ______

Explanation:

Step1: State volume formula for prism

$V = l \times w \times h$

Step2: Answer order question (Commutative Prop)

No, order does not matter.

Step3: Calculate volume of prism 2

$V = 3 \times 3 \times 3 = 27$

Answer:

1. Formula for volume of a rectangular prism: $\boldsymbol{V = l \times w \times h}$ (where $l$ = length, $w$ = width, $h$ = height)
2. No, the order of multiplication does not matter.
3. Volume of prism ①: 16 cubic yards

Volume of prism ②: 27 cubic inches