The volume of a square pyramid can be derived from the expression that the volume of an object is equal to the product of the area of the base times its height. For a square pyramid, it can be simplified as V = a^2(h)/3 where a is the side of the square base and h is the height. However, we are given the slant height. The equation would be:

V = a^2(h)/3

s^2 = (a/2)^2 + h^2 where s is the slant height
h = √( s^2 - (a/2)^2)
h = √( 26^2 - (48/2)^2)= 10

V = 48^2(10)/3 = 7680 cm^3 --> OPTION C

3 0

2 years ago

Make g the subject of the formula w=7-g

goldfiish [28.3K]

G=7-w
is this you want to know?

4 0

2 years ago

1. The side view of Mrs. Marigold's roof on her house

Ostrovityanka [42]

Answer:

The height of Mrs. Marigold's roof is 10 feet.

Step-by-step explanation:

Given that,

Base of the given triangle = 48 ft

Hypotenuse = 26 ft

Half of the base = 24 ft

Using Pythagoras theorem,

$h=\sqrt{26^2-24^2}\\\\h=10\ ft$

So, the height of Mrs. Marigold's roof is 10 feet.

7 0

2 years ago

You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of t

Gnoma [55]

Sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
$y = mx + b$
plug in the values given
x=4
y=4
m=2

$4 = 2(4) + b$
b, the y intercept equals -4.

so:

$y = 2x - 4$
in this case

6 0

2 years ago