What is the volume of this pyramid shown ?

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

Hello!
(Length x height x width) ÷ 3 = volume
6 x 3 x 7
18 x 7
126
126 ÷ 3 = 42
The volume is 42 ft ³.
Hope this helped!

Rzqust [24]3 years ago

5 0

The formula for the volume of a pyramid is:

V=l×w×h/3
V=6×3×7/3
V=126/3
V=42

The volume of the pyramid is 42. So the answer is the second choice or B.

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8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

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Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

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$\sf 5y = -2x + 15$

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$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.