Question

a rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. a similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. the dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism? 3\frac{1}{2} 4 4\frac{5}{6} 5

Explanation:

Step1: Divide larger length by smaller length

$\frac{14.7}{4.2}=3.5 = 3\frac{1}{2}$

Step2: Check with width (optional verification)

$\frac{20.3}{5.8}=3.5 = 3\frac{1}{2}$

Step3: Check with height (optional verification)

$\frac{33.6}{9.6}=3.5 = 3\frac{1}{2}$

Answer:

A. $3\frac{1}{2}$