A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
2 answers:
Answer:
Area of cross section is 104
Step-by-step explanation:
Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.
The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.
Length of rectangle = Length of diagonal of base & top = 13 inches
Width of Rectangle = Height of Prism = 8 inches
Area of Cross Sectional Rectangle = Length × Width
= 13 × 8
= 104
Therefore, Area of cross section is 104
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So V = x * x * 3
Given volume = 675 cubic inches
Divide by 3 on both sides
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x = 15
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