Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 of 10 what is the volume of the regular pyramid below? a. 25…

Question

question 6 of 10
what is the volume of the regular pyramid below?
a. 256 units³
b. 384 units³
c. 768 units³
d. 128 units³

Explanation:

Step1: Calculate the base area

The base is a square with side length \(8\). The area of a square \(A = s^{2}\), so \(A=8\times8 = 64\).

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here \(A = 64\) and \(h = 6\). Then \(V=\frac{1}{3}\times64\times6\).

$$ LATEXBLOCK0 $$

Answer:

D. 128 units³