Question

PLEASE HELP MEEH

The net of the triangular prism is shown below
What is the surface area of the right triangular prism?

A. 624
B. 816
C. 912
D.864

Answer 1

the surface area of the right triangular prism is 864 . Correct option D. 864

Step-by-step explanation:

Here we have The net of the triangular prism is shown below . We need to find What is the surface area of the right triangular prism . Let's find out:

We have two same triangles , with area =
`(1)/(2)(base)(height)`

⇒
`(1)/(2)(12)(8)(2)` { 2 is multiplied as there are 2 triangles }

⇒
`96`

Now , We have 3 rectangles two of which are same have parameters as :

`length=24\\breadth=10`

So , area of two rectangles

⇒
`2(length(width))`

⇒
`2(24(10))`

⇒
`480`

And area of other rectangle is :

⇒
`length(width)`

⇒
`24(12)`

⇒
`288`

So , total area = 288+480+96=864

Therefore , the surface area of the right triangular prism is 864 . Correct option D. 864

Answer 2

(D) 864 cm²

Step-by-step explanation:

Given:

Base, b = 12cm

Height, h = 8 cm

Hypotenuse, s = 10cm

Length, l = 24 cm

Surface area, A = ?

We know:

Surface area = bh + 2ls + lb

`A = 12X8 + 2X24X10 + 24X12\\\\A = 96 + 480 + 288\\\\A = 864 cm^2`