(a.) is the answr. ............................................
<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>
I’m on the same question I need help to???
Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).
The sum of the two integers is 57, so we have:
x+ (x+1)= 57
⇒ (x+ x)+ 1= 57 (associative property)
⇒ 2x+ 1= 57
⇒ 2x= 57-1
⇒ 2x= 56
⇒ x= 56/2
⇒ x= 28
Since x= 28, the first integer is 28, and the second integer is:
x+1= 28+1= 29
The two numbers are 28 and 29.
Hope it helps.
