Question

PLEASE HELP MEEH

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 = $\frac{1}{2}(base)(height)$

⇒  $\frac{1}{2}(12)(8)(2)$      { 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

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

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