Question

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

Answer 1

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=$V=\frac{1}{3} (17)(12)$