Question

What is the volume of the square pyramid? Round to the nearest tenth

Answer 1

The correct option is 3.

Explanation:

The volume of a square pyramid is

`V=(1)/(3)(\text{Base area})h`

`V=(1)/(3)a^2h` .... (1)

Where, a is th side of base and h is the height of pyramid.

From the given figure it is clear that the height of the pyramid is 10 cm and the length of base is 12 cm.

Substitute a=12 and h=10 in equation (1), to find the volume of the square pyramid.

`V=(1)/(3)* (12)^2* (10)`

`V=(1)/(3)* (144)* (10)`

`V=(48)* (10)`

`V=480`

The volume of pyramid is 480 cm³. Therefore the correct option is 3.

Answer 2

`Volume = 480.0{cm}^(3)`

EXPLANATION

The volume of the square pyramid is given by;

`Volume = (1)/(3) {l}^(2) * h`

Where l=12cm is the length of the square base and h=10cm is the height of the pyramid.

We substitute the values into the formula to get;

`Volume = (1)/(3) * {12}^(2) * 10 {cm}^(3)`

This simplifies to,

`Volume = (1)/(3) * {12} * 12* 10 {cm}^(3)`

`Volume = 4 * 12* 10 {cm}^(3)`

`Volume = 480.0{cm}^(3)`

Third option is correct.