A box is to be constructed with a rectangular base and a height of h cm. The length, l, of the box is 10 cm, and the width, w, is twice the height. Which quadratic equation best models the volume of the box? V = lwh
Answer
A
V = 20h
B
V = 20h2
C
V = 100h
D
V = 100h2
Explanation
Use the volume formula V = lwh. Substitute the length l = 10 and the width w = 2h: V = 10 × 2h × h = 20h². Therefore, the quadratic model is V = 20h², choice B.
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