Question

How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism? How is it different?
ANSWER:
For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

Answer 1

Answer:

for PLATO users

Step-by-step explanation:

The area of the face of the rectangular prism as determined above is 7x2 − 7x + 3.

Area = length x depth

Length = area ÷ depth

Therefore, the length is (7x2 − 7x +3) ÷ (x + 4)

Using synthetic division, the coefficients of the polynomial are 7, −7, 3, and k = −4.

− 4

7

− 7

3

− 28

140

7

− 35

143

Therefore, the length of the rectangular prism is given by . 7x-35+143/x+4

Answer 2

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases