To solve this question, we first need to convert both of these values into mixed numbers. 5

becomes

and 4

becomes

. Now we have to find a LCD. An LCD for 4 and 8 is 8, so now we have to change

into something over 8.

becomes

when you multiply the fraction by the form of 1

. 34 + 43 = 77, so our answer is 77/8 which simplifies to
9
.
Answer:
12.30 x 6 = 73.8
Step-by-step explanation:
Step-by-step explanation:
Perimeter = x + 2x + 2x = 5x
Since 5x <= 46.8cm, x <= 9.36cm.
The largest base is 9.36cm.
<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>
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