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

C

Explanation:

3m

Answer 2

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=(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=(3V)/(h)\\ B=(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=(B)/(W) \\ L=(6m^(2))/(2m) \\ L=3m`

The answer is:
`3m`