Question

Zachary built a toy box in the shape of a rectangle prism with an open top. the diagram shows the toy bix and a net of the toy. whatbis the surface area in square inches of the toy box

Answer 1

In the given figure of ractangular prism :

Length = 13 in, height = 12 in, width = 11 in

The expression for the surface area of rectangular prism is = 2 (LW +LH + HW)

As the prism is open with top, thue reduce the area of top part : Height x Length

The expression for the surface aea of the prism = 2(LW + LH + HW) - HL

Substitute the value :

`\begin{gathered} \text{Surface area of the rectangle prism =}2\mleft(LW+LH+HW\mright)-HL \\ \text{Surface area of the rectangle prism =}2(13*11+13*12+12*11)-13*12 \\ \text{Surface area of the rectangle prism =706 in}^2 \end{gathered}`

Surface area of rectangular prism is 706 in square.