Question

The top of a monument will be a rectangular pyramid. It will take 22 m3 of bronze to make the top that is 11 m tall.



What is the missing dimension of the base of the pyramid?
1 m
2 m
3 m
4 m

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the volume of a rectangular pyramid, which is:

$V=\frac{Bh}{3}$

Where $V$ is the volume ($V=22m^{3}$), $B$ is the area of the base and $h$ is the heigth ($h=11m$).

2. Now, you must solve for $B$ and substitute the values into the formula:

$B=\frac{3V}{h}\\ B=\frac{3(22m^{3})}{11m} \\ B=6m^{2}$

3. The formula for calculate the area of a rectangle is:

$B=WL$

Where $B$ is the area, $W$ is the width and $L$ is the length. You already have the width, so you can solve for the length to calculate it:

$L=\frac{B}{W} \\ L=\frac{6m^{2}}{2m} \\ L=3m$

The answer is: $3m$

Answer 2

Answer:

C

Step-by-step explanation:

3m