# The volume, V, of a box is a function of its height, h, in centimetres. If V(h) = 4h³ - 6h² + 80, what is the volume, in cubic ceintimetres when h = 3 cm?

Volume $V = 134$ cubic centimeters

#### Explanation:

Given $V \left(h\right) = 4 \cdot {h}^{3} - 6 {h}^{2} + 80$

at $h = 3$,

$V \left(3\right) = 4 \cdot {3}^{3} - 6 \cdot {3}^{2} + 80$

$V \left(3\right) = 4 \cdot 27 - 6 \cdot 9 + 80$

$V \left(3\right) = 108 - 54 + 80$

$V \left(3\right) = 134$

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