Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt
hs of the two prisms are the same. Which best describes the volume of the second prism?
Question 9 options:
The volume is times the volume of the first prism.
The volume is 2 times the volume of the first prism.
The volume is greater than the volume of the first prism.
The volume is the same as the volume of the first prism.
1 answer:
The volume of the second prism is also ten times the volume of the first prism.
Let's assume that both prisms have:
width = 3 units
height = 4 units
Prism 1 length = 5 units
Prism 2 length = 50 units
Let's solve their respective volumes to compare...
Volume of prism 1 = length * width * height
= 5 * 3 * 4
= 60 units ^3
Volume of prism 2 = 50 * 3 * 4
= 600 units ^3
Prism 2/ prism 1 = 10
That means prism 2 is ten times the volume of prism 1.
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