All categories

2 years ago

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics

2 answers:

GenaCL600 [577]2 years ago

5 0

<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

MariettaO [177]2 years ago

3 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is

Here we have volume (V), base (L), and width (W)

V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H

Then we need to divide both sides by (L×W) to get:

Now we can plug in the given values:

The height is 9 inches

You might be interested in

what is the sum of an 8th term geometric series if the first term is -11, the last term is 180,224, and the common ratio is -4

Mumz [18]

The sum of n terms is given from the first term and the common ratio by

$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

$S_{8}=(-11)\dfrac{(-4)^{8}-1}{-4-1}=(-11)\dfrac{65535}{-5}\\\\=144177$

4 0

3 years ago

What is three-fourths of 1,968

lara31 [8.8K]

All you have to so is divide 1968 by 4.

1968 ÷ 4 = 496.5 = 1/4

Now multiply 496.5 by 3 = 1, 489.5 = 3/4

I hope this helps! :_

7 0

3 years ago

Read 2 more answers

Please!!!!!!!!! help!!!! me!!!!!!!!!!

LuckyWell [14K]

Hey! the answer is 8 dimes and 4 nickels

8 dimes = 8×10
and 4 nickels = 5×4 = 20
which 20+80 = 100
and I would put (D) break into parts
hope it helps!

5 0

3 years ago

Read 2 more answers

Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl

spin [16.1K]

She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.

4 0

3 years ago

Read 2 more answers

Can u help with these two

Artemon [7]

The volume of a rectangular prism can be given by the form
$V= b*h*w$

you know Volume, base, and height but you dont know width

so divide b and h to both sides
$\frac{V}{b*h} = w$
and you cna solve for width

now for 6.
dividing by a number is the same as multiplying by its reciprocal

$n \div 6 = n * \frac{1}{6}$

8 0

3 years ago

Read 2 more answers