Question

A tower is composed of a prism with a square base and a pyramid. The base length is 20 meters, and the height of the prism is 40 meters, while the slant height of the pyramid is 10√2 meters. What is the total surface area, including the bottom base?

Answer 1

@Bob @rootbeer003 @Jaynator494

Answer 2

@EvL

Answer 3

@Korianna

Answer 4

Ah i see still mad

Answer 5

@EvL do you know?

Answer 6

;-;

Answer 7

A. 400√2 + 3,600 m^2
B. 200√2 + 3,600 m^2
C. 400√2 + 400 m^2
D. 4000√2 m^2

Answer 8

@EvL Is it A

Answer 9

EvL is da best v.v

Answer 10

Find the area of the base of the tower first:

Since it's a square it will be: \(\sf length \times length = 20 \times 20 \)
Now, find the area on the sides of the tower:
one side is :\(\sf length \times height= 20 \times 40\)
Since you have four sides, you multiply that by 4

Once you find those areas, you add them PLUS the surface area of the square pyramid.

To find the area of the sides of the square pyramid :
\(\sf one\ side\ area: \frac{1}{2}{b}{h}=\frac{1}{2}(20)(10 \sqrt{2}) \)
then you multiply this by 4 since you have FOUR sides of a square pyramid.