Question

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

Answer 1

ANSWER

$Volume = 480.0{cm}^{3}$

EXPLANATION

The volume of the square pyramid is given by;

$Volume = \frac{1}{3} {l}^{2} \times h$

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;

$Volume = \frac{1}{3} \times {12}^{2} \times 10 {cm}^{3}$

This simplifies to,

$Volume = \frac{1}{3} \times {12} \times 12\times 10 {cm}^{3}$

$Volume = 4 \times 12\times 10 {cm}^{3}$

$Volume = 480.0{cm}^{3}$

Third option is correct.

Answer 2

Answer:

The correct option is 3.

Step-by-step explanation:

The volume of a square pyramid is

$V=\frac{1}{3}(\text{Base area})h$

$V=\frac{1}{3}a^2h$                  .... (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.

$V=\frac{1}{3}\times (12)^2\times (10)$

$V=\frac{1}{3}\times (144)\times (10)$

$V=(48)\times (10)$

$V=480$

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