One rectangle is devided into four parts. How much is one part?
1 answer:
Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Division = 4 parts
Required
How much is one part of the division
Represent the rectangle with R and the parts with P
When a rectangle (R) is divided into 4 parts (P); the relationship between R and P is:
<em>This implies that the one part of the division is ¼ of the divided rectangle</em>
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Question:
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
What is the volume of the dilated prism?
Enter your answer, as a decimal, in the box.
Answer:
The volume of the dilated prism is
Explanation:
A prism with a base area of 8 cm² and a height of 6 cm
The volume of the prism can be determined by the formula,
Volume of the prism is given by
Thus, the volume of the prism is
It is also given that the volume of the dilated prism is dilated by a factor of
Hence, the new volume is given by
Thus, the volume of the dilated prism is
is a factor of
because (by the remainder theorem) the remainder upon dividing
by
is
.
There's also the sum of fifth powers formula,