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vovikov84 [41]
2 years ago
5

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

Mathematics
2 answers:
uysha [10]2 years ago
8 0

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.

Minchanka [31]2 years ago
6 0

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.

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