Answer:
64 cm²
Step-by-step explanation:
Formula(s):
- Surface area = Sum of the area of the prism's faces
- Area of triangle: 1/2 x Base x Height
- Area of square: (side)²
Clearly, we can see that there are 4 triangles and a square included in the prism. Therefore,
- ⇒ Surface area = 4(Area of triangle) + Area of square
We know the following:
- Given height of triangle: 6 cm
- Given base of triangle: 4 cm
Since the base of the triangle is equivalent to the side of square (As shown in picture), the side of the square must be 4 cm.
- ⇒ Surface area = 4(1/2 x Base x Height) + (side)²
- ⇒ Surface area = 4(1/2 x 4 x 6) + (4)²
- ⇒ Surface area = 4(12) + 16
- ⇒ Surface area = 48 + 16
- ⇒ Surface area = 64 cm²
Therefore, the surface area of the prism is 64 cm².
