Question

a solid right pyramid has a square base. the base edge length is 2 cm longer than the height of the pyramid. if the height is 6 cm, what is the volume of the pyramid? 24 cm³ 48 cm³ 128 cm³ 144 cm³

Explanation:

Step1: Find base edge length

Base edge = height + 2 = $6 + 2 = 8$ cm

Step2: Calculate base area

Area of square base = $\text{edge}^2 = 8^2 = 64$ cm²

Step3: Apply pyramid volume formula

Volume = $\frac{1}{3} \times \text{base area} \times \text{height}$
$\frac{1}{3} \times 64 \times 6$

Step4: Simplify the expression

$\frac{1}{3} \times 384 = 128$ cm³

Answer:

128 cm³