Respuesta :
Answer:
The correct option is;
C. The surface area of the pyramid is multiplied by 100
Step-by-step explanation:
The equation for the surface area of a triangular prism is as follows;
A = b×h + 2×l×s + l×b
Where:
b = Base width
h = Height of triangular sides
s = Slant height of pyramid
l = Base Length
Hence where every dimension of the triangular pyramid is multiplied by 10, we have
The surface area of original prism = A₁ = b×h + 2×l×s + l×b
The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b
A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)
Therefore, the surface area of the new pyramid is multiplied by 100.
Answer:
A The surface area of the pyramid is multiplied by 10.
Step-by-step explanation:
A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.
The total surface area of the triangular prism is calculated as:
(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)
If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.
