Question

what is the volume, in cubic inches, of the rectangular box shown below, given the values for x, y, and z?

note: picture not drawn to scale

assume x = 12, y = 7, and z = 7

a. 434 \text{ in}^3
b. 588 \text{ in}^3
c. 488 \text{ in}^3
d. 738 \text{ in}^3

Explanation:

State the volume formula for a rectangular prism

$$ V = x \cdot y \cdot z $$

Substitute the given dimensions

$$
LATEXBLOCK0
$$

Calculate the final volume

$$ V = 12 \cdot 7 \cdot 7 = 12 \cdot 49 = 588\text{ in}^3 $$

Answer:

• (A) \(434\text{ in}^3\)
• (B) \(588\text{ in}^3\) (Correct answer)
• (C) \(488\text{ in}^3\)
• (D) \(738\text{ in}^3\)