For questions 1–2, find the volume of the given prism. Round to the nearest tenth if necessary. 1. (1 point) 265.1 cm3 274.4 cm3 274.6 cm3 269.3 cm3 2. (1 point
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For questions 1–2, find the volume of the given prism. Round to the nearest tenth if necessary. 1. (1 point) 265.1 cm3 274.4 cm3 274.6 cm3 269.3 cm3 2. (1 point) 2,028.0 yd3 1,756.3 yd3 1,434.0 yd3 3,512.6 yd3 3
2 Answer

1. User Answers JcAlmighty
1. The answer is 269.3 cm³.
The volume of a the rectangular prism (V) is the product of its length (l), width (w), and height (h):
V = l * w * h
According to the image:
l = 12.1 cm
w = 5.3 cm
h = 4.2 cm
Therefore,
V = 12.1 * 5.3 * 4.2 = 269.3 cm³
2. The answer is 1,756.3 yd³.
The volume of the triangular prism (V) is:
V = 1/4 * h √(a⁴ + 2(ab)² + 2(ac)² * b⁴ + 2(bc)² * c⁴)
where: h  height of the prism,
a, b, c  sides of the base
According to the image:
h = 24 yd
a = b = c = 13 yd
Therefore:
V = 1/4 * 24 * √(13⁴ + 2(13 * 13)² + 2(13 * 13)² * 13⁴ + 2(13 * 13)² * 13⁴)
V = 1756.3 yd³ 
2. User Answers raphealnwobi
The volume of the prism is 269.3 cm³ and 1756.3 yd³
Volume
Volume shows the amount of space enclosed by a closed surface. It is the amount of space that an object occupies, or that is enclosed within a container.
1)
 volume of prism = length * width * height
 Volume = 12.1 * 5.3 * 4.2 = 269.3 cm³
2)
 volume of triangular prism = 1756.3 yd³
The volume of the prism is 269.3 cm³ and 1756.3 yd³
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