To find out how much wrapping paper is needed to wrap the toy in the shape of a triangular prism, you need to calculate the surface area of the prism.
The formula to calculate the surface area (S.A.) of a triangular prism is:
\[ S.A. = bh + aP \]
Where:
- \( b \) = area of the triangular base
- \( h \) = height (or length) of the prism
- \( a \) = perimeter of the triangular base
- \( P \) = perimeter of the triangular base
- First, calculate the area of the triangular base. If the triangle's base is \( b \) and height is \( h_t \), then:
\[ \text{Area of triangle} (A) = \frac{1}{2} \times b \times h_t \]
- Next, calculate the perimeter of the triangular base (sum of the lengths of all sides):
\[ P = a_1 + a_2 + a_3 \]
Where \( a_1, a_2, a_3 \) are the lengths of the sides of the triangular base.
- Finally, plug the values into the surface area formula for the prism:
\[ S.A. = \text{Area of triangle} \times h + P \times h \]
Make sure to replace each variable with the values from your specific prism if you have them.
Since no specific measurements have been provided in your question, I can't calculate a numeric answer. Please provide the dimensions of the triangular base (the lengths of each side and the height) and the height of the prism, and I can help you calculate the surface area and provide an answer rounded to the nearest whole number.