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

User Amitabha Roy
by
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1 Answer

16 votes
16 votes

ANSWER


A=222\operatorname{cm}

Step-by-step 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=(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((1)/(2)\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}

User Terence Lewis
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3.2k points