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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
Answer:
Step-by-step explanation:
Since, according to associative property of multiplication,
a(bc) = (ab)c,
Where a, b and c are any real numbers,
Here, the given expression,
2 × ( 5 × 1.5 ),
By applying the associative property of multiplication,
( 2 × 5 ) × 1.5,
Hence, the appropriate expression in the first box is '(2×5)'
And, the appropriate number in the second box is '1.5'.