Question

Find the lateral area for the prism.

Answer 1

I am pretty that lateral area = The area of only all the sides that aren't the base. For this problem, the bases are considered the 2 triangles found on the top and bottom, so we would not include this in the area.

To find this, we just need to find the area of the 3 rectangles added up together.

Area of a rectangle = LxW

1. For the rectangle on the furthest left, we are given the dimensions of 4*8.

2. For the rectangle furthest away from the screen, we are given the dimensions of 8*6

3. Now for the rectangle closest to the screen, we are only given the dimension of 8 as you can see, but we aren't given the top dimension. Notice that the triangle on the top is a right triangle, so we can use the Pythagorean theorem formula to find the hypotenuse which would also be the width of the rectangle. A^2+B^2=C^2, so we would do 4^2+6^2 and square root that. Multiply 8 by the answer you just got in this step.


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