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Sagot :

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.

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