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.

(A pyramid with only a 3 next to it.)


What is the missing dimension of the base of the pyramid?

Answer 1

c

Explanation:

3m

Answer 2

3m

Explanation:

Volume of a pyramid = 1/3 * Base area * height

If the top of the monument is 11m tall, then the height of the pyramid is 11m. If it will take C of bronze to make the top that is 11 m tall, the volume of the pyramid is 22m³.

Substituting the given data into the formula to get the base area;

`22 = (1)/(3)* B * 11\\ 22 = (11B)/(3) \\22*3 = 11B\\66 = 11B\\B = 66/11\\B = 6m^(2)`

Since the base of the pyramid is rectangular in nature,

Base Area = Length * Breadth

Base Area = 6m², and the length of the base is given as 2m, the missing dimension will be the breadth of the rectangle.

6 = 2 * Breadth

Breadth = 6/2

Breadth = 3m

The missing dimension is 3m