How do you find the value for x in the problem?
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Hello!
We are going to use the rectangular prism of the image as a guide:
First of all, the AC segment is calculated using the Pythagoras' theorem:
(A) The surface area of a prism is the sum of the surface areas of each face.
For the 2 triangles ABC and DEF
For the ABEF Rectangle
For the ACDE Rectangle
For the BCDF Rectangle
To finish you need to sum up the areas of each face:
(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows
We are going to use the rectangular prism of the image as a guide:
First of all, the AC segment is calculated using the Pythagoras' theorem:
(A) The surface area of a prism is the sum of the surface areas of each face.
For the 2 triangles ABC and DEF
For the ABEF Rectangle
For the ACDE Rectangle
For the BCDF Rectangle
To finish you need to sum up the areas of each face:
(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows