Question

A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. if the area of the square base is 9 in2, what is the height of the pyramid? 1.5 in. 3 in. 3.5 in. 4 in.

Answer 1

The height of the square-based pyramid is 3.5 in.

What is the volume of a square pyramid?

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

$\mathbf{V = a \times \dfrac{1}{3}h}$

$\mathbf{V = a \times \dfrac{h}{3}}$

Given that:

• V = 10.5 in³
• a = 9 in²

$\mathbf{10.5 = 9 \times \dfrac{h}{3}}$

$\mathbf{10.5 =3\times h}$

$\mathbf{h = \dfrac{10.5}{3}}$

h = 3.5 in

Learn more about the volume of a square pyramid here:

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Answer 2

Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge