The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
The answer is 15 because I checked it with Socratic
Here, 4³√(3x-3)² + 2 = 38
= 4³ (3x - 3) = 38 - 2
= 192x - 192 = 36
= 192x = 192 + 36
= x = 228/192
= x = 1.1875 [ Final Answer ]
Hope this helps!
