Question

Container is shaped like a triangular prism. 3 cm 5 cm

Answer 1

ANSWER

$A=222\operatorname{cm}$

EXPLANATION

A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.

B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.

The third rectangular face has a length of 15 cm and a width of 4 cm.

C) The surface area of the prism is the sum of the areas of the faces of the prism.

The area of a triangle is given as:

$A=\frac{1}{2}\cdot b\cdot h$

where b = base, h = height

The area of a rectangle is given as:

$A=l\cdot w$

where l = length, w = width

Therefore, the surface area of the prism is:

$\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}$