The shape is a trigular base prism
1. The perimeter of the base (triangle)
[tex]\begin{gathered} Hyp^2^{}=opp^2+adj^2 \\ \\ \text{Hypo}^2=3^2+4^2 \\ \text{Hypo}^2=9+16 \\ \text{Hypo}^2=25 \\ \text{Hypo}=\sqrt[]{25} \\ \text{Hypo}=\text{ 5} \end{gathered}[/tex]
The Perimeter of a triangle = a+b+c
The perimeter of a triangle = 3+4+5
The perimeter of a triangle = 12
The perimeter of the base =12
2. Height of the prism = 6
3.
[tex]\begin{gathered} \text{Area of the base (triangle) =}\frac{1}{2}bh \\ \text{Where b is the base } \\ h\text{ is the height} \\ b=4\text{ and h=3} \\ \text{Area of the base (triangle) =}\frac{1}{2}\times4\times3 \\ \\ \\ \text{Area of the base (triangle) =}\frac{1}{2}\times12 \\ \\ \text{Area of the base (triangle)}=6\text{ squared unit} \\ \end{gathered}[/tex]
4. Lateral Area= (a+b+c)h
Lateral Area= (3+4+5)6
Lateral Area= (12)6
Lateral Area= 72 squared unit
5. Surface area
6. Volume
Volume is 36 cubic units
