Question

Use the image to answer the question.

An inverted triangular pyramid with a square base has a dotted line segment labeled 10 cm extending from the bottom vertex to the base. One side of the pyramid’s base is labeled 8 cm.

Arturo sketches this square-based pyramid. Each edge of the base measures 8 centimeters, as shown in the image. What is the volume of Arturo’s pyramid, rounded to the nearest whole cubic centimeter?

(1 point)
Responses

213
213

214
214

640
640

27
27

Answer 1

Base area = 8^2 = 64 cm^2. Volume = (1/3)(base area)(height) = (1/3)(64)(10) = 640/3 ≈ 213.333... cm^3. Rounded to nearest whole cm^3: 213.