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3 years ago

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

2 answers:

4 0

The volume of a square pyramid is the length of the base squared times the height over three: (L^2*H/3)
So, when you plug in the numbers you get the length of the base square as 4 cm.

anzhelika [568]3 years ago

4 0

Answer:

Length of the base of a square pyramid is 4 inches

Step-by-step explanation:

the volume is 48 cubic inches and has a height of 9 inches.

Volume of the square pyramid formula is $\frac{a^2h}{3}$

Where 'a' is the length of the base of a square and h is the height of the pyramid

volume = 48 and height =9, plug in the values in the formula

Volume of the square pyramid= $\frac{a^2h}{3}$

$48=\frac{a^2 \cdot 9}{3}$

$48=3a^2$

Divide both sides by 3

$16=a^2$

Now take square root on both sides

$a=4$

Length of the base of a square pyramid is 4 inches

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B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

3 0

3 years ago

Read 2 more answers

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Jet001 [13]

Answer: 5/1 or just 5

Step-by-step explanation:

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1 year ago

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a_sh-v [17]

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3 years ago

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Nookie1986 [14]

Answer:

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2 years ago

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Kipish [7]

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1 1
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3 years ago