Question

babatunde draws a drinking glass with a scale of 2 units on his graph paper represents 2.5 cm. the glass is 8 units tall in the drawing what is the height in cm of the actual glass

Answer 1

2 units = 2.5 cm

8 units = (8/2)*2.5 = 10cm

Answer 2

The actual height of the glass is 10 cm.

Explanation:

`\because \text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}`

Given,

Actual measure = 2.5 cm and scaled measure = 2.5 cm,

So, by the above formula,

`\text{Scale factor}=(2.5)/(2)=1.25`

Now, scaled measure = 8,

`\implies 1.25=\frac{8}{\text{actual measure}}`

`\implies \text{actual measure}= 8* 1.25 = 10\text{ cm}`

Hence, the actual height of the glass is 10 cm.