Question

A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the surface area of this pyramid?48 cm 2129 cm 2102 cm 281 cm 2

Answer 1

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As the base of the pyramid is a equilateral triangle the surface are is given by the next formula:

$\begin{gathered} SA=B+3(\frac{1}{2}b*h) \\ \\ B=Area\text{ of the base} \\ \\ SA=(\frac{1}{2}b*w)+3(\frac{1}{2}b*h) \end{gathered}$$\begin{gathered} SA=(\frac{1}{2}*6cm*7cm)+3(\frac{1}{2}*6cm*9cm) \\ \\ SA=(\frac{42}{2}cm^2)+3(\frac{54}{2}cm^2) \\ \\ SA=21cm^2+\frac{162}{2}cm^2 \\ \\ SA=21cm^2+81cm^2 \\ \\ SA=102cm^2 \end{gathered}$

Then, the surface area of the given pyramid is 102 square centimeters