8) Calculate the surface area and volume of the figure shown below: 12 fe 35 fE
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
![The image presents an exercise labeled as "8)" with the following instruction:
**"Calculate the surface area and volume of the figure shown below:"**
The accompanying diagram depicts a 3D solid with the following dimensions:
- The height of the trapezoidal face is labeled as 10 feet.
- The top side of the trapezoid is 8 feet.
- The bottom side of the trapezoid measures 12 feet.
- The depth (the length of the solid along the direction perpendicular to the trapezoidal face) is 35 feet.
- The inclined side of the trapezoid measures 10 feet.
- The slanted or lateral height from the top of the trapezoidal face to the base is 12 feet.
- The vertical side of the rectangle at the end is 25 feet.
The figure appears to be a prism with a trapezoidal base extending into the third dimension. The task is to find both the total surface area and the volume of the prism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e2a46ee-88e3-4252-8f0b-8f51e15168b2%2Fce487f32-5eb3-40a9-aa51-178dcff29804%2Fb33fccj.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents an exercise labeled as "8)" with the following instruction:
**"Calculate the surface area and volume of the figure shown below:"**
The accompanying diagram depicts a 3D solid with the following dimensions:
- The height of the trapezoidal face is labeled as 10 feet.
- The top side of the trapezoid is 8 feet.
- The bottom side of the trapezoid measures 12 feet.
- The depth (the length of the solid along the direction perpendicular to the trapezoidal face) is 35 feet.
- The inclined side of the trapezoid measures 10 feet.
- The slanted or lateral height from the top of the trapezoidal face to the base is 12 feet.
- The vertical side of the rectangle at the end is 25 feet.
The figure appears to be a prism with a trapezoidal base extending into the third dimension. The task is to find both the total surface area and the volume of the prism.
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