Question

the net of a rectangular prism is shown below. the surface area of each face is labeled. which values represent the dimensions, in centimeters, of the rectangular prism? (note: diagram is not to scale) answer 20, 48, 60 4, 5, 12 3, 15, 16 4, 12, 25

Explanation:

Step1: Recall the formula for the area of a rectangle

The area of a rectangle is $A = l\times w$. Let the dimensions of the rectangular - prism be $a$, $b$, and $c$. Then the areas of the faces are $ab$, $ac$, and $bc$.

Step2: Check the products for each option

Option 1: If the dimensions are $20$, $48$, $60$

$20\times48 = 960
eq60,48,20$; $20\times60 = 1200
eq60,48,20$; $48\times60=2880
eq60,48,20$.

Option 2: If the dimensions are $4$, $5$, $12$

$4\times5 = 20$; $4\times12 = 48$; $5\times12 = 60$.

Option 3: If the dimensions are $3$, $15$, $16$

$3\times15 = 45
eq60,48,20$; $3\times16 = 48$; $15\times16 = 240
eq60,48,20$.

Option 4: If the dimensions are $4$, $12$, $25$

$4\times12 = 48$; $4\times25 = 100
eq60,48,20$; $12\times25 = 300
eq60,48,20$.

Answer:

$4,5,12$