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Fiesta28 [93]
3 years ago
14

Compare and contrast area and volume

Mathematics
2 answers:
Trava [24]3 years ago
8 0
Volume applies to a 3-D shape so in the context of that area is how much is on the outside of a 3-D shape while the volume is how much is inside the shape.
PolarNik [594]3 years ago
4 0
Area is a line segment and
volume is a 3- dimensional quantity.
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The cross section of rectangular prism A measures 1. 5 units by 1 unit. The cross section of triangular prism B has a base that
dmitriy555 [2]

Volume of an object is the measure of the space that object occupies. The correct comparison of volume of considered objects is: Volume of A = Volume of B

<h3>How to find the volume of a right rectangular prism?</h3>

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a\times b \times c \: \rm unit^3

<h3>How to find the volume of right triangular prism?</h3>

It can be obtained by multiplying the cross sectional triangle's area to the height of the considered triangular prism.

Thus, for the given case, we get:

  • Volume of rectangular prism:

Its dimensions are 1.5 units by 1 units by 1.81 units

Thus, V_A = 1.5 \times 1 \times 1.81 = 1.5 \times 1.81 = 2.715 \: \rm unit^3

  • Volume of triangular prism:

Its cross section triangle has base of 2 units and height of 1.5 unit. The height of the prism is equal to the height of the considered rectangular prism = 1.81 units,

Thus,

V_B = \text{Area of triangular cross-section} \times 1.81 = \dfrac{1}{2} \times 2\times 1.5 \times 1.81 \: \rm unit^3\\V_B = 2.715\: \rm unit^3\\\\

Thus, we get V_A = V_B((Volume of A = Volume of B)

Learn more about volume of triangular prism here:

brainly.com/question/8565162

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