Respuesta :
Answer:
area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively
Step-by-step explanation:
Let us first be aware of formula of volume for any regular geometrical figure.
Fundamental formula for volume for any regular geometrical figure is.
volume = area of cross section of object* height of object (A)
In the problem stated area of cross section of object will be area of a trapezoidal base.
Given in the question is
Volume of both the trapezoidal prisms = 24 cubic units
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For prism with height 6 unit
Substituting the value of height and volume in formula for trapezoidal prisms
24 = 6 * area of a trapezoidal base
=> area of a trapezoidal base = 24/6 = 4 square units
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For prism with height 8 unit
Substituting the value of height and volume in formula for trapezoidal prisms
24 = 8 * area of a trapezoidal base
=> area of a trapezoidal base = 24/8 = 3 square units
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Therefore area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively.
The area of a trapezoidal base of each prism with heights 6 and 8 units should be 4 square units and 3 square units.
Calculation of the area:
Since we know that
volume = area of cross-section of object* height of the object (A)
Now
The volume of both the trapezoidal prisms = 24 cubic units
Now the area should be
24 = 6 * area of a trapezoidal base
= 4 square units
Now
For prism with a height 8 unit
24 = 8 * area of a trapezoidal base
area of a trapezoidal base = 3 square units
Hence, The area of a trapezoidal base of each prism with heights 6 and 8 units should be 4 square units and 3 square units.
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