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almond37 [142]
3 years ago
10

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

Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
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
Elden [556K]3 years ago
7 0

Answer:

just took the quiz! 100% correct!

1)D

2)B

3)A

4)B

5)B

6)D

7)C

8)A

9)A

10)B

11)B

12)B

Step-by-step explanation:

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