Find the volume and surface area of the figure.
8.6in 5in 4in
To find the volume of the figure, we use the formula for the volume of a rectangular prism:
Volume = length * width * height
Given that the length is 8.6in, the width is 5in, and the height is 4in, we can substitute these values into the formula to find the volume:
Volume = 8.6in * 5in * 4in
Volume = 172in³
Therefore, the volume of the figure is 172 cubic inches.
To find the surface area of the figure, we use the formula for the surface area of a rectangular prism:
Surface Area = 2 * (length * width + length * height + width * height)
Substituting the given values into the formula:
Surface Area = 2 * (8.6in * 5in + 8.6in * 4in + 5in * 4in)
Surface Area = 2 * (43in² + 34.4in² + 20in²)
Surface Area = 2 * 97.4in²
Surface Area = 194.8in²
Therefore, the surface area of the figure is 194.8 square inches.