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To find: complete the volume of the prism, and explain reasoning.
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Answer to Problem 28HP
Both rectangular prisms have same volume.
Explanation of Solution
Given information: Two prisms are shown.
Formula used:
Volume of rectangle prism =
Calculation:
Rectangular prism 1, dimensions are (8cm, 8cm, 8cm)
Rectangular prism 2, dimension are (8cm, 4cm, 16cm)
Now,
Both shown rectangular prism have same volume.
In both shown prisms base is same,
Width of 1 prism is 8cm and in 2, it is half of 1 prism I.e. 4 cm.
Where as height of 1 prism is 8 cm and height of 2 prisms is twice height of first prism.
Therefore, half width of 2 prism of the first and twice height of 2 prism prism to the first, compensate.
Hence, both volumes are equal.
In rough sense, multiplying
Volume will be same.
Chapter 12 Solutions
Glencoe Math Accelerated, Student Edition
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