Question

1.5.3 test (cst): polynomials
question 16 of 25
the volume of this rectangular prism is (5x^3). what does the coefficient 5 mean in terms of the problem?
image of rectangular prism with length = 5x, width = x, height = x
a. the length is 5 times the width.
b. the length of the prism is 5 units.
c. the width is 5 times the height and the length.
d. the total volume of the prism is 5 cubic units.

Explanation:

• Analyze Option A: Width is \( x \), length is \( 5x \), so length is \( 5\times x = 5\times \text{width} \), which means length is 5 times the width. This matches the coefficient's relation.
• Analyze Option B: Length is \( 5x \), not 5 units (unless \( x = 1 \), but it's a variable, so this is incorrect).
• Analyze Option C: Width is \( x \), height is \( x \), length is \( 5x \); width is not 5 times height or length, so this is wrong.
• Analyze Option D: Volume is \( 5x^3 \), not 5 cubic units (unless \( x = 1 \), but \( x \) is a variable, so this is incorrect).

Answer:

A. The length is 5 times the width.