What is the volume of the prism?

Mathematics

2 answers:

madam [21]3 years ago

8 0

Use the equation. V=L*W*H
L=6cm
W=2 1/2 cm = 5/2
H=4 1/2 cm = 9/2

V=6*5/2*9/2
V=(6*5*9)/(2*2)
V=270/4

V=67 1/2cm^3

note. This is a cube, not a triangular prism.

kkurt [141]3 years ago

6 0

<span>The volume of a triangular prism ... you multiply the base times the height.</span>

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What is the following quotient? 1 divided by 1+ square root 3

ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

$\frac{1}{1+\sqrt{3}}$

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with $1-\sqrt{3}$ , as shown below:

$\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}$