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irga5000 [103]
3 years ago
11

Tyler finds a rock in the shape of a triangular pyramid. The dimensions of the rock are shown. A triangular pyramid. The base ha

s a base of 8.5 inches and a height of 4 inches. The height of the pyramid is 12 inches. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the volume of the rock in cubic inches? V = one-third (8.5) (12) V = one-third (4) (12) V = one-third (34) (12) V = one-third (17) (12)
Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

Volume of the rock=V=\frac{1}{3} (17)(12)

Step-by-step explanation:

Volume of triangular pyramid = \frac{1}{3} BH

Where B is the area of base

H is the height of pyramid

Length if base of base triangle = 8.5 inches

Height of base = 4 inches

Area of base triangle = \frac{1}{2} \times base \times height = \frac{1}{2} \times 8.5 \times 4=17 inches^2

Height of pyramid = 12 inches

Volume of triangular pyramid = \frac{1}{3} BH=\frac{1}{3} (17)(12)

So, option D is true

Volume of the rock=V=\frac{1}{3} (17)(12)

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