Question

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

Explanation:

Step1: Calculate base - area

The base is a rectangle with length $l = 1.0$ yd and width $w=1.2$ yd. The area of the base $B$ is given by $B=l\times w$. So, $B = 1.0\times1.2=1.2$ yd².

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $h = 15.0$ yd is the height of the pyramid. Substitute $B = 1.2$ yd² and $h = 15.0$ yd into the formula: $V=\frac{1}{3}\times1.2\times15$. First, $1.2\times15 = 18$, then $\frac{1}{3}\times18=6$ yd³.

Answer:

d) $6$ yd³