Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a rectangular prism with a missing section. The missing section is also in the shape of a rectangular prism. The top, right, and front faces of the figure are visible. "The faces and edges that are not visible are indicated by dashed lines. The rectangular prism has a length of 13.7 centimeters and a height of 11.5 centimeters. The missing section is removed from the bottom right corner of the rectangular prism. The missing section is a rectangular prism that shares a width of 3 centimeters with the rest of the figure. The missing rectangular prism section has a length of 7.5 centimeters and a height of 7.5 centimeters. The remaining length to the left of the missing section both measures 6.2 centimeters. The remaining height above the missing section measures 4 centimeters.
Solve for the total surface area of the figure.
(1 point)
Responses
377.8 cm2
377.8 cm squared
365.8 cm2 365.8 cm squared
353.8 cm2
353.8 cm squared
53.4 cm2
3 answers
The lateral surface area of the rectangular prism with the missing section can be found by:
2 * (length * height + length * width + height * width)
= 2 * (13.7 * 11.5 + 13.7 * 3 + 11.5 * 3)
= 2 * (157.55 + 41.1 + 34.5)
= 2 * 233.15
= 466.3 cm²
The surface area of the missing section can be found by:
length * height + length * width + height * width
= 7.5 * 7.5 + 7.5 * 3 + 7.5 * 3
= 56.25 + 22.5 + 22.5
= 101.25 cm²
Therefore, the total surface area of the figure is:
466.3 cm² + 101.25 cm² = 567.55 cm²
So, the correct answer is not provided.