What happens to the volume of a rectangular prism when its length is tripled?
1 answer:
The volume of a rectangular prism is represented by the following equation:
where w is the width , l is the length, and h is the height
Replace with
since the length is tripled
From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.
Let me know if you need any clarifications, thanks!
You might be interested in
The total ball in the bag is 4 + 2 = 6 balls. Their are 4 red balls and 2 blue balls.
If they are drawn singly the probability that 2 blue balls are counted can be expressed as follows
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2