A pyramid has a volume of 8 cm cubed, what is the volume of a rectangular prism with the same dimensions?

Mathematics

1 answer:

choli [55]3 years ago

3 0

For some base area B and height h, the volume of a pyramid is

... V = (1/3)Bh

For the same base area and height, the volume of a rectangular prism is

... V = Bh

You will note that the factor of 1/3 is missing, meaning that the volume of the prism is 3 times the volume of the same-dimensions pyramid.

The prism has a volume of 3×(8 cm³) = 24 cm³.

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The table shows the last holiday destination of 60 people

Licemer1 [7]

Answer:

Use your protractor to draw the lines

Step-by-step explanation:

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3 0

2 years ago

Help me please asap I need to know fully how to solve this problem

vivado [14]

Consider the absolute value, because we only worry about the quadrant later.

$\text{Consider: } sin(A) = |-\frac{\sqrt{3}}{4}|$
$sin(A) = \frac{\sqrt{3}}{4}$

Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.

The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

$\therefore tan(A) = \pm \sqrt{\frac{3}{13}}$

Since angle A is in the third quadrant, the tangent function will produce a positive angle.

$tan(A) = \sqrt{\frac{3}{13}}$
$\text{Rationalise the denominator: } \frac{\sqrt{3}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$

$tan(A) = \frac{\sqrt{39}}{13}$