Question

find the volume of a pyramid with a height of 20 cm and a rectangular base with dimensions of 4 cm and 7 cm. round your answer to the nearest hundredth as needed. \boxed{} cm³

Explanation:

Step1: Calculate base area

The base is a rectangle, so area $A = l \times w = 4 \times 7 = 28$ $\text{cm}^2$

Step2: Apply pyramid volume formula

Volume formula is $V = \frac{1}{3} \times A \times h$. Substitute $A=28$, $h=20$:
$V = \frac{1}{3} \times 28 \times 20$

Step3: Compute and round result

$V = \frac{560}{3} \approx 186.67$

Answer:

$186.67$ $\text{cm}^3$