Question

Use a net to find the surface area of the rectangular prism the height of the rectangular prism meets the base at a 90° angle

Answer 1

406 square inches

Step-by-step explanation:

The net of a rectangular prism has 6 rectangular faces.

In this prism, the dimensions of the faces are:

• 2 rectangles with length 7 in. and width 5 in.

,

• 2 rectangles with length 7 in. and width 14 in.

,

• 2 rectangles with length 14 in. and width 5 in.

Next, we find the surface area of the prism:

`\begin{gathered} \text{Surface Area}=2(7*5)+2(7*14)+2(14*5) \\ =2(35)+2(98)+2(70) \\ =70+196+140 \\ =406in^2 \end{gathered}`

The surface area of the rectangular prism is 406 in².