1. Find the surface area of the square pyramid shown below? 2. Find the surface area of the cube shown below?

Question

asked Jul 17, 2021 146k views

2 Answers

Elias Torres Arroyo · Answer 1 · 2021-07-21T07:29:34+0000

Answer:

Part 1)
$SA=40\ units^2$

Part 2)
$SA=6.25\ units^2$

Explanation:

Part 1) we know that

The surface area of a square pyramid is equal to the area of the square base plus the area of its four triangular faces

so

SA=b^2+4[(1)/(2)(b)(h)]

we have

$b=4\ units\\h=3\ units$

substitute

SA=4^2+4[(1)/(2)(4)(3)]

$SA=16+24=40\ units^2$

Part 2) we know that

The surface are of the cube is equal to the area of its six square faces

so

SA=6b^2

we have

$b=2.5\ units$

substitute

$SA=2.5^2\\SA=6.25\ units^2$