Question

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

Answer 1

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

Answer 2

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: