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When the dimensions of a rectangular prism will be doubled, its volume won't only be doubled but it will be 8 times as much.
The original volume of the rectangular prism is LxWxH.
V= LxWxH
V= (6m) (4m) (10m)
V= 240m³
If we double the dimensions, the volume would be
V= 2L x 2W x 2H
V= 2 x 6m x 2 x 4m x 2 x 10m
V= 2 x 2 x 2 x 6m x 4m x 10m
V= 2³ (6m x 4m x 10m)
V= 2³ x 240m³
V = 8 x 240m³
V= 1920 m³
The new volume now is 1,920 m³, which makes the rectangular prism larger than the original.
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Answer:
=10383435
Step-by-step explanation:
Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)