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3 years ago

PLEASE HELP ME WITH THIS THANKS

Mathematics

2 answers:

stich3 [128]3 years ago

7 0

Answer:

The answer to your question is Volume = 12735.06 cm³

Step-by-step explanation:

Data

a = 11.26 cm

s = 13 cm

h = 29 cm

Formula

V = BH

Process

1.- Calculate the area of the base

Area = B = Pa/2

P = Perimeter

P = 6(13)

P = 78 cm

Area = (78)(11.26)/2

= 878.28/2

= 439.14 cm²

2.- Calculate the volume

Volume = BH

= (439.14)(29)

= 12735.06 cm³

Umnica [9.8K]3 years ago

5 0

Answer:

Correct answer: V = 12,733,17 cm³

Step-by-step explanation:

This is a regular six-sided prism.

Given:

The base edge a = 13 cm

Prism height H = 29 cm

The base of this prism is a regular hexagon consisting of six equilateral triangles.

The area of one equilateral triangle is:

A₁ = (a² · √3) / 4

Area of the base is:

B = 6 · A₁ = 6 · (a²· √3) / 4

B = 6 · (13² · √3) / 4 = 3 · 169 · √3 / 2 = 439.07 cm²

B = 439.07 cm²

The volume of the prism is:

V = B · H = 439.07 · 29 = 12,733,17 cm³

V = 12,733,17 cm³

God is with you!!!

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