Question

asked Apr 6, 2021 218k views

1 Answer

Yinglin · Answer 1 · 2021-04-10T04:49:47+0000

Question # 1

Answer:

The surface area of the square pyramid is 44.84.

Explanation:

As the perpendicular height = 3

square base side = 4

Using the formula to compute the surface area of the square pyramid:

$A=a^2+2a\sqrt{(a^2)/(4)+h^2}$

Here:

a = Base Edge = 4

h = height = 3

$A=4^2+2\left(4\right)\sqrt{(4^2)/(4)+3^2}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$A=4^2+2\cdot \:4\sqrt{(4^2)/(4)+3^2}$

A=4^2+8√(13) ∵
$2\cdot \:4\sqrt{(4^2)/(4)+3^2}=8√(13)$

A=16+8√(13)

A=44.84

Therefore, the surface area of the square pyramid is 44.84.

Answer:

The surface area of a cube is 37.5

Explanation:

Given the the length of one of the sides = s = 2.5

To find the surface area of a cube, using the formula

$A=\:6s^2$

$A=\:6\left(2.5\right)^2$

$A=6\cdot \:6.25$ ∵
2.5^2=6.25

A=37.5

Therefore, the surface area of a cube is 37.5