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Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
A The surface area of the pyramid is multiplied by 10.
B. The surface area of the pyramid is multiplied by 50.
OC. The surface area of the pyramid is multiplied by 100.
D. The surface area of the pyramid is multiplied by 1,000.
E. The effect on the surface area cannot be determined.

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 á 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.

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