volume of pyramids

2. WHAT’S IN:
•CONSIDER THE BOX OF WORDS BELOW AND
READ THE ITEMS THAT FOLLOW. FILL EACH
BLANK IN THE ITEMS WITH THE CORRECT
WORD, PHRASE, OR EXPRESSION FOUND
INSIDE THE BOX. WRITE YOUR ANSWERS ON
YOUR ANSWER SHEET.

3. • 1. THE BASE OF A CYLINDER OR A CONE HAS A ______________ SHAPE.
• 2. ______________ ARE THREE-DIMENSIONAL FIGURES THAT ENCLOSE PART
OF SPACE.
• 3. A ______________ IS THE SET OF ALL POINTS IN SPACE THAT ARE THE
SAME DISTANCE FROM A GIVEN POINT CALLED CENTER.
• 4. A ______________ HAS ONE BASE, IT’S OTHER FACES ARE TRIANGLES.
• 5. THE VOLUME OF ANY PYRAMID IS ______________ THE PRODUCT OF THE
AREA OF THE BASE AND ITS HEIGHT.
cylinder volume of a solid figure vertex center
cone one third solid figures edge
sphere circle pi face
pyramid
cylinder volume of a solid figure vertex center
cone one third solid figures edge
sphere circle pi face
pyramid

4. •6. THE ______________ IS THE AMOUNT OF SPACE IT ENCLOSES.
•7. A ______________ HAS TWO CIRCULAR BASES THAT ARE
CONGRUENT AND PARALLEL.
•8. SOME SPACE FIGURES HAVE FLAT SURFACES CALLED
______________.
•9. A POINT WHERE EDGES INTERSECT IS CALLED ______________.
•10. A ______________ HAS ONE CIRCULAR BASE AND A VERTEX.
cylinder volume of a solid figure vertex center
cone one third solid figures edge
sphere circle pi face
pyramid
cylinder volume of a solid figure vertex center
cone one third solid figures edge
sphere circle pi face
pyramid

5. A. FINDING THE VOLUME OF A RECTANGULAR PYRAMID
•A RECTANGULAR PYRAMID HAS ONE BASE AND ITS OTHER
FACES ARE TRIANGLES.
•THE VOLUME (V) OF ANY RECTANGULAR PYRAMID IS ONE-
THIRD THE PRODUCT OF THE AREA OF ITS BASE (B) AND THE
HEIGHT (H).

6. A. FINDING THE VOLUME OF A RECTANGULAR PYRAMID
•EXAMPLE: FIND THE VOLUME OF THE PYRAMID BELOW. THE
BASE IS A RECTANGLE. MULTIPLY THE LENGTH AND THE
WIDTH OF THE RECTANGLE TO FIND THE AREA OF ITS BASE.
MULTIPLY THE AREA OF THE BASE BY THE HEIGHT AND 1/3.

7. A. FINDING THE VOLUME OF A RECTANGULAR PYRAMID
• EXAMPLE: FIND THE VOLUME OF THE PYRAMID BELOW. THE BASE IS A
RECTANGLE. MULTIPLY THE LENGTH AND THE WIDTH OF THE RECTANGLE TO FIND
THE AREA OF ITS BASE. MULTIPLY THE AREA OF THE BASE BY THE HEIGHT AND
1/3.
B = 1 x w
= (6m) (5.5m) = 33 𝑚2
V = 1/3 Bh / 1/3 x 33 𝑚2
x 8m
V = 1/3 (33 m2) (8 m)
= 88 𝑚3
The volume of the rectangular
pyramid is 88 𝑚3.
8 M
6 M
5.5 M

8. EXAMPLES:
12 CM
8 CM
15 CM V = ______________𝑐𝑚3

9. EXAMPLES:
12 CM
8 CM
15 CM V = 480 𝑐𝑚3

10. EXAMPLE:
12 M
6 M
8 M
V = _______𝑚3

11. EXAMPLE:
12 M
6 M
8 M
V = _192_𝑚3