Question

Some of the dimensions of a square pyramid are shown in the diagram. The height of the square pyramid is 5.1 meters.

What is the volume of the square pyramid in cubic meters?

60 m3

40 m3

360 m3

120 m3

Answer 1

27.2 m³

Explanation:

Given:

• Base edge = 4 m
• Height = 5.1 meters

Formula:

`(\text{Base edge})^(2) * \frac{\text{Height}}{3}`

Replace the base edge and the height in the formula:

`\implies (\text{4})^(2) * \frac{\text{5.1}}{3}`

Evaluate the volume of the prism:

`\implies (\text{4})(4) * 1.7`

`\implies 16 * 1.7`

`\implies 27.2 \ \text{m}^(3)`

Answer 2

27.2 cm³

Explanation:

Volume of a square pyramid

`\sf V=\frac13a^2h`

where:

• a is the base edge
• h is the height

Given:

• a = 4 m
• h = 5.1 m

`\sf \implies Volume=\frac13\cdot 4^2\cdot5.1=27.2\;cm^3`