Question

7 in.3 in.Please refer to the rounding rules in the instructions.Slant height =inchesHeight = 7inchesLateral Area = 71.8square inchesVolume = 65.9cubic inchesBlank 1:Blank 2: 7Blank 3: 71.8Blank 4: 65.9

Answer 1

Using the pythagoream theorem,

$\begin{gathered} \text{hypotenus}^2=\text{opposite}^2+\text{adjacent}^2 \\ AB^2=AC^2+BC^2 \end{gathered}$

Where,

$\begin{gathered} AB=x \\ AC=7in \\ BC=3in \end{gathered}$

Substituting the values, we will have

$\begin{gathered} x^2=7^2+3^2 \\ x^2=49+9 \\ x^2=58 \\ \text{square root both sides} \\ x=\sqrt[]{58} \\ x=7.6in \end{gathered}$

Hence,

The slant height = 7.6in