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Find the lateral area and surface area of the right person

Find the lateral area and surface area of the right person-example-1
User Kristian Spangsege
by
3.0k points

1 Answer

8 votes
8 votes

SOLUTION:

Step 1:

The lateral area of a figure is the area of the non-base faces only.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces.

Step 2:

To find the lateral area of the right prism figure given in the question;


\begin{gathered} \mleft(20*17\mright)+(20*17)+(20*16) \\ 340\text{ + 340 + 320} \\ 1000ft^2 \end{gathered}

Step 3:

To find the surface area of the right prism given in the question;

The surface area of a prism is the sum of the areas of its lateral faces and its two bases

We need to note here that its two bases are the isosceles triangles with dimensions 17 feet by 17 feet by 16 feet.

Step 4:

We need the height of the triangle to calculate the area so bisect it into two right-angle triangles and then use the concept of Pythagoras theorem to find the height.

Step 5:


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User James Allen
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3.2k points