Question

1. a monument in the shape of a pyramid has a rectangular base with dimensions 7 meters by 4 meters and a height of 10 meters. calculate the volume.

a. $1.75m^{3}$
b. $75.76m^{3}$
c. $93.3m^{3}$
d. $120m^{3}$

Explanation:

Step1: Calculate base area

$A = 7 \times 4 = 28 \, \text{m}^2$

Step2: Apply pyramid volume formula

$V = \frac{1}{3} \times A \times h = \frac{1}{3} \times 28 \times 10$

Step3: Compute final volume

$V = \frac{280}{3} \approx 93.3 \, \text{m}^3$

Answer:

c. $93.3\text{m}^3$