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Rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles. The side lengths of the triangles are 4 inches. The height of each triangle is about 3.5 inches. Rachel wants to cover all the lateral surfaces except for the base with yellow paper. The amount of paper required to cover the lateral surfaces is about square inches. If she wants to cover the entire pyramid with yellow paper, she would require about more square inches of paper.

Respuesta :

MrRoyal

The amount of paper required to cover the toy is 55.86 square inches

How to determine the amount of paper required to cover the toy?

The given parameters are:

  • Base length, b = 4 inches
  • Height, h = 3.5 inches

The amount of paper required to cover the toy is the surface area, and it is calculated using:

A = (b²√3/2) + 3(b × h)

So, we have:

A = (4²√3/2) + 3(4 × 3.5)

Evaluate

A = 55.86

Hence, the amount of paper required to cover the toy is 55.86 square inches

Read more about surface areas at:

https://brainly.com/question/6613758

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