Question

Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m.

The rectangular prism has a height of 34 m. What is its lateral surface area?

Answer 1

Let perimeter of the base = P and height = H.

Lateral surface area = Perimeter of the base $\times$ Height

= P $\times$ H ................(1)$\left[0.5mark\right]$

Base perimeter of the rectangular prism = 2 $\times$ ( Right triangle's height + Right triangle's base length )
= $2\times (29+15)$
= $2\times 44$
= $88m$$\left[1mark\right]$

$\Rightarrow$ Lateral surface area = $88\times 34$
= 2992 m${}^2$$\left[0.5mark\right]$