Question

determine the volume of the right pyramid.
15.0 yd
1.2 yd
1.0 yd
a) 12 yd³
b) 18 yd³
c) 3 yd³
d) 6 yd³

Explanation:

Step1: Find the base - area formula

The base of the pyramid is a rectangle. The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l = 1.2$ yd and $w = 1.0$ yd. So, $A=1.2\times1.0 = 1.2$ yd².

Step2: Recall 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. The height $h = 15.0$ yd and $A = 1.2$ yd².

Step3: Calculate the volume

Substitute the values of $A$ and $h$ into the volume formula: $V=\frac{1}{3}\times1.2\times15$. First, $\frac{1}{3}\times1.2 = 0.4$, then $0.4\times15=6$ yd³.

Answer:

d) 6 yd³