<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Answer:
hints to solve each. partial answer due to lack of time, hope it helps!
Step-by-step explanation:
1)
a) solve ():
5
+ 7
- 9
- 6
+ 12
- 10
=
. (5 +7-9-6+12-10)
b) use
= 

c) use
= 
= 2
use
= 
= 2
2)
a) use
= 

use
= 
= 2