18
QuizMultiple Choice

Modeling with Systems of Linear Equations — Unit test

Question 18 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

Answer
A
0.2 inches
B
4.5 inches
C
46.1 inches
D
414.7 inches

Explanation

Rearrange the volume formula to find the width: w = V ÷ (l × h). The length and height multiply to 3.2 × 9.6 = 30.72, so w = 138.24 ÷ 30.72 = 4.5 inches. The width is 4.5 inches, choice B.

AI-written and checked against the verified answer.

Previous
Next