Look at this expression 7201
Which of the following is the simplest form of the expression above?
OA
OB
oc 2012
OD 22264

OD22264 is the correct answer for that

Part A:

We all know the formula for solving the volume of a triangular prism, which is V = ½ (b · h · l). Using this formula, we can solve h, the height of the base, with the given information.

3,240 = ½(24 · h·  30)

3,240 = ½(24 · 30 · h)

3,240 = ½(720 · h)

3,240 = (½ · 720)h

3,240 = 360h

3,240 ÷ 360 = 360h ÷ 360

9 = h

So, the height of the base is 9 centimeters.

Part B:  

There are two triangular faces, each with a base of 24 centimeters and a height of 9 centimeters. Using the formula A = ½ (b · h), we can calculate the area of each face, which is:

½ (24 · 9) = 108 sq cm.  

Because we have two of them, we will multiply the answer by two.  

108(2) = 216 sq cm

There are two rectangular faces whose dimensions are 15 cm by 30cm; Using the formula A = b · h, we can calculate the area of each face, which is:

15 · 30 = 450.  

Because we have two of them, we will multiply the answer by two.

450(2) = 900 sq cm.

There is one rectangular face whose dimensions are 30 cm by 24 cm. There is one rectangular face whose dimensions are 30 cm by 24 cm. Using the same formula as before, we can calculate the area which is:

30 · 24 = 720 sq cm.

This makes the total surface area

216 + 900 + 720 = 1,836 sq cm.

So the surface area of the triangular prism is 1,836 sq cm.