Neil buys y packets of sweets costing 45 cents per packet.

Mathematics

1 answer:

vodka [1.7K]3 years ago

3 0

Answer:

y=45p+t

Step-by-step explanation:

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Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm

cestrela7 [59]

<h2>Answer:</h2>

$\boxed{V=40\sqrt{3}cm^3}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

$V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height$

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by $A=\sqrt{s(s-a)(s-b)(s-c)}$ being $a,\:b\:and\:c$ the corresponding sides of the triangle. So: