Question

Becky made a box in the shape of the triangular prism shown. If she were to wrap this box, how many square inches of wrapping paper would she need? Select one: O 225 square inches O 240 square inches O 156 square inches O 216 square inches

Answer 1

216 square inches​

Step-by-step explanation:

To find out how many square inches of wrapping paper she would need, calculate the total surface area of the triangular prism.

The triangular prism has five faces:

• Two equal triangles with base 6 in. and height 4 in.

,

• Two rectangles (Rectangle 1) of dimension 5 in. by 12 in.

,

• A rectangle of dimension 6 in. by 12 in.

Therefore:

`\begin{gathered} \text{Surface Area}=2(\text{Area of Triangle)+2(Area of Rectangle 1)+Area of Rect. 2} \\ =2((1)/(2)*6*4)+2(5*12)+(6*12) \\ =24+120+72 \\ =216\; in^2 \end{gathered}`

She would need 216 square inches​ of wrapping paper.