Question

The surface area of the square prism.

Answer 1

Answer:

Explanation:

The surface is: the top and bottom with areas of x2 each, and 4 sides of area xy:

f(x,y) = 2x2 + 4xy

f’x = 4x + 4y

f’y = 0 + 4x = 4x

Answer 2

$\huge\mathfrak\pink{\underline{\underline{AnSwer}}}$

★Surface area of square prism is

= 4ah + 2a^2

DERIVATION :-

TSA = LSA + 2× AREA OF BASE

Where,

LSA = perimeter of base × height

here, base is square shaped so, perimeter of base is

P = 4× side = 4a

hence,

LSH = 4ah

TSA = LSA × 2 × area of base

since, base is square so...area of square = side^2 = a^2

Hence, we may write total surface area of prism as

TSA = 4ah + 2a^2

Happy to help !

:)