Question

an empty box contains 12,000 cubic inches of space. if the box is 4 feet long and 3 feet wide, how high is it?

1,000 inches
83 \\(1/3\\) feet
6.944 inches
6.944 feet
83 \\(1/3\\) inches
none of these

Explanation:

Convert dimensions to inches

Using the Volume of a Rectangular Prism knowledge point

$$
LATEXBLOCK0
$$

Calculate base area in square inches

Using the Volume of a Rectangular Prism knowledge point

$$ A = l \times w = 48 \times 36 = 1728\text{ square inches} $$

Solve for height

Using the Algebraic Isolation knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) 1,000 inches
• (B) \(83\frac{1}{3}\) feet
• (C) 6.944 inches (Correct answer)
• (D) 6.944 feet
• (E) \(83\frac{1}{3}\) inches
• (F) none of these