The volume of the prism is 560 m3.
The volume of the pyramid is 187 m3.
Relationship Between Volume of Prisms & Pyramids Practice
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Question
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A prism and pyramid have congruent triangular bases. If their heights are both 15 m, what is the volume of each shape?
the numbers are 14, 7, 8 and 16
(1 point)
The volume of the prism is m3.
The volume of the pyramid is m3.
7 answers
That's incorrect try again
Apologies for the mistake. Let's calculate the volumes correctly.
Volume of a Prism = (Area of base x Height)
Volume of a Pyramid = (1/3 x Area of base x Height)
Since the base is a triangle, we need to find the area of the triangle first.
Given:
Base of the triangle = 14 m
Height of the triangle = 7 m
Area of the triangle = 0.5 x Base x Height
Area of the triangle = 0.5 x 14 x 7 = 49 m2
Now, calculating the volumes:
Volume of the prism = 49 (area of base) x 15 (height) = 735 m3
Volume of the pyramid = 1/3 x 49 (area of base) x 15 (height) = 245 m3
Therefore,
The volume of the prism is 735 m3.
The volume of the pyramid is 245 m3.
Volume of a Prism = (Area of base x Height)
Volume of a Pyramid = (1/3 x Area of base x Height)
Since the base is a triangle, we need to find the area of the triangle first.
Given:
Base of the triangle = 14 m
Height of the triangle = 7 m
Area of the triangle = 0.5 x Base x Height
Area of the triangle = 0.5 x 14 x 7 = 49 m2
Now, calculating the volumes:
Volume of the prism = 49 (area of base) x 15 (height) = 735 m3
Volume of the pyramid = 1/3 x 49 (area of base) x 15 (height) = 245 m3
Therefore,
The volume of the prism is 735 m3.
The volume of the pyramid is 245 m3.
wrong bro
I apologize for the mistake. Let's calculate the volumes correctly this time.
Given:
Height of both the prism and pyramid = 15 m
For the prism:
Volume of a prism = Area of base x Height
Area of the triangular base = 0.5 x base x height = 0.5 x 14 x 7 = 49 m2
Volume of the prism = 49 m2 x 15 m = 735 m3
For the pyramid:
Volume of a pyramid = (1/3) x Area of base x Height
Volume of the pyramid = (1/3) x 49 m2 x 15 m = 245 m3
Therefore, the correct volumes are:
The volume of the prism is 735 cubic meters.
The volume of the pyramid is 245 cubic meters.
Given:
Height of both the prism and pyramid = 15 m
For the prism:
Volume of a prism = Area of base x Height
Area of the triangular base = 0.5 x base x height = 0.5 x 14 x 7 = 49 m2
Volume of the prism = 49 m2 x 15 m = 735 m3
For the pyramid:
Volume of a pyramid = (1/3) x Area of base x Height
Volume of the pyramid = (1/3) x 49 m2 x 15 m = 245 m3
Therefore, the correct volumes are:
The volume of the prism is 735 cubic meters.
The volume of the pyramid is 245 cubic meters.
wrong!
I apologize for the mistake again. Let's correct the calculation.
Given:
Base of the triangle = 14 m
Height of the triangle = 7 m
Area of the triangular base = 0.5 x Base x Height
Area of the triangular base = 0.5 x 14 x 7 = 49 m2
Now, calculating the volumes:
Volume of the prism = 49 (area of base) x 15 (height) = 735 m3
Volume of the pyramid = 1/3 x 49 (area of base) x 15 (height) = 245 m3
Therefore, the correct volumes are:
The volume of the prism is 735 m3.
The volume of the pyramid is 245 m3.
Given:
Base of the triangle = 14 m
Height of the triangle = 7 m
Area of the triangular base = 0.5 x Base x Height
Area of the triangular base = 0.5 x 14 x 7 = 49 m2
Now, calculating the volumes:
Volume of the prism = 49 (area of base) x 15 (height) = 735 m3
Volume of the pyramid = 1/3 x 49 (area of base) x 15 (height) = 245 m3
Therefore, the correct volumes are:
The volume of the prism is 735 m3.
The volume of the pyramid is 245 m3.
1 answer