What is the volume of the pyramid? right triangular pyramid with height of 35 centimeters. the base of the pyramid is a right triangle with base of 24 centimeters and height of 18 centimeters.
What is the volume of the pyramid? right triangular pyramid with height of 35 centimeters. the base of the pyramid is a right triangle with base of 24 centimeters and height of 18 centimeters.
Check the picture below.
keeping in mind that the volume of a pyramid is one third "area of its base" times its height.
well, notice, the base triangle has itself a base of 10, and a height of 18,
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ height\\ -------\\ B=\frac{1}{2}(10)(18)\\ h=14 \end{cases}\implies V=\cfrac{1}{3}\left[ \frac{1}{2}(10)(18) \right](14) \\\\\\ V=(30)(14)\implies V=420[/tex]
[tex]Atriangular pyramid has a right triangle for its base. the perpendicular sides of the triangle are 1[/tex]
Hello!
35 x 24 x 18
840 x 18
15120
15120 ÷ 3 = 5040
The volume is 5,040 cm ³.
Hope this helps!
Hello!
The area for a triangular pyramid is V=1/3bh. First we need to find the area of the base. The area of the triangle is half of the base and height.
b=90 in²
Now we multiply by the height.
90(14)=1260
And divide by three, or multiply by 1/3.
1260/3=420
Therefore, our answer is D) 420 in³.
I hope this helps!
The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3. I hope you find this helpful (if correct.)
answer:
16/98+666+32
step-by-step explanation:
=3
792km^3
Step-by-step explanation:
The volume of pyramid is calculated by multiplying l×w×h and that's divided by 3 (l: length, w: width, h: height)
Height of this pyramid : 22km
Width of this pyramid : 9km
Length of this pyramid : 12km we have to multiply these values and divide the result by 3
22×9×12 ÷ 3 = 792km^3
Volume of the pyramid=[tex]396 km^3[/tex]
Step-by-step explanation:
Volume of a right triangular pyramid = [tex]\frac{1}{3}*A*H[/tex]
Where A= Area of the base triangle of the pyramid
and H = Height of the Pyramid from base to top of it.
In the base triangle:
Length of base= 12 Km Length of Altitude of base triangle=9 km
Area of the base triangle(A)
[tex]= \frac{1}{2} *base *altitude \\\\ = \frac{1}{2} * 12*9\\\\ = 54 Km^2[/tex]
Volume of the pyramid= [tex]\frac{1}{3}*A*H[/tex] :[tex]H=22 Km[/tex]
[tex]\frac{1}{3} *54*22[/tex]
[tex]=18*22[/tex]
Volume of the pyramid=[tex]396 km^3[/tex]