Question

1. Find the lateral area and surface area of the given prism. Round your

answer to the nearest whole number

Answer 1

LA = 720 , SA = 780

Explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer 2

Explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

c² = 289 - 225

c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

`\boxed { \text{Lateral surface area = (a + b + c)*h }}`

= ( 17 + 15 + 8 ) * 18

= 40 * 18

= 720 in²

`\boxed { \text{total surface area = LSA + 2* area of base triangles}}`

`\text{ area of base triangles = 2* $ (1)/(2)*base*height $}`

= base * height

= 8 * 15

= 120 in²

Total surface area = 720 + 120

= 840 in²