Question

the right rectangular prism shown is filled with unit cubes.

$v = l \times w \times h$ or $v = b \times h$

which expression can be used to find the volume of the right rectangular prism?

\\(\bigcirc\\) a. \\( (4 \times 4) + 8 \\)
\\(\bigcirc\\) b. \\( 4 + 4 + 8 \\)
\\(\bigcirc\\) c. \\( (4 + 4) \times 8 \\)
\\(\bigcirc\\) d. \\( 4 \times 4 \times 8 \\)

Explanation:

Step1: Recall Volume Formula

The volume of a right rectangular prism is \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Step2: Identify Dimensions

From the prism, length \( l = 4 \), width \( w = 4 \), height \( h = 8 \).

Step3: Substitute into Formula

Substituting into \( V = l \times w \times h \), we get \( 4 \times 4 \times 8 \).

Answer:

D. \( 4 \times 4 \times 8 \)