Question

2. A glass figurine is in the shape of a pyramid. Given that it has a volume of 42 cm³ and a base area
8 cm², find the height of the figurine.​

Answer 1

Given:

A glass figurine is in the shape of a pyramid. Given that it has a volume of 42 cm³ and a base area of 8 cm²

To find:

The height of the figurine.​

Solution:

The volume of the pyramid-shaped glass figurine, V = 42 cm³

The base area of the pyramid-shaped glass figurine, A = 8 cm²

Let "h" represents the height of the figurine.

The formula of the volume of a right rectangular pyramid is as follows:

$\boxed{\bold{Volume = \frac{1}{3} \times Area\:of\:base \times height}}$

Now, by substituting the values of V = 42 cm³ and A = 8 cm² in the formula above, we get

$42 = \frac{1}{3} \times 8 \times h$

$\implies h = \frac{42\:\times \:3}{8}$

$\implies \bold{h = 15.75\:cm}$

Thus, the height of the glass figurine is → 15.75 cm.

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