Rectangular Prisms
What is the formula for finding volume of a rectangular prism?
V = l * w * h
What is the formula for finding volume of a pyramid?
V = 1/3 * base area * height
What is the formula for finding volume of a triangular prism?
V= 1/2 * b * h * l
What is the formula for finding volume of a cylinder?
V = 3.14 * r2 * h
Which term is used to describe flipping an object across a line without changing its size or shape?
A. translation
B. reflection
C. rotation
B. reflection
What is the formula for finding surface area of a rectangular prism?
SA = 2wl + 2lh + 2hw
What is the formula for finding surface area of a pyramid?
SA = base area + (1/2 * perimeter * slant height)
What is the formula for finding surface area of a triangular prism?
SA = (bh) + (s1+s2+s3)*l
What is the formula for finding volume of a cone?
V = 3.14 * r2 * h * 1/3
Which point falls in quadrant 3 on the coordinate plane?
A. (-9, -1)
B. (0, -1)
C. (3, 2)
A. (-9, -1)
Find the volume of a rectangular prism with the following dimensions:
length= 4m; width= 8m; height= 3m
V= l*w*h
=4*8*3
=96m3
Find the volume of a square pyramid with the following dimensions:
base side length= 6ft; height=7ft
V= 1/2*base area*height
=1/2*(6*6)*7
=126ft3
Find the volume of a triangular prism with the following dimensions:
base= 4mm; height= 10mm; length of prism= 2mm
V= 1/2*b*h*l
=1/2*4*10*2
=40mm3
If a cone and a cylinder have the same radius and height, what will be the relationship between their volumes?
Volume of a Cone = 1/3 Volume of a Cylinder
Give an example of symmetry found in nature.
Ex: Butterfly wings pattern
Find the surface area of a rectangular prism with the following dimensions:
length= 11cm; width= 0.9cm; height= 22cm
SA= 2wl*2lh*2hw
=(2*0.9*11)+(2*11*22)+(2*22*0.9)
=19.8+484+39.6
=543.4cm2
Find the surface area of a square pyramid with the following dimensions:
base side length= 6ft; slant height=7ft
SA= base area + 1/2 * perimeter * slant height
base area = 6*6 = 36ft2
perimeter= 6+6+6+6 = 24ft
SA= 36 + 1/2*24*7
= 120ft3
Find the surface area of a triangular prism with the following dimensions:
base of triangle face= 12yd; height= 8yd
side 1= 10yd; side 2= 10yd, side 3= 12yd
length of prism= 14yd
SA = (bh) + (s1+s2+s3)*l
= (12*8)+(10+10+12)*14
=96+ 32*14
=544yd2
What is the volume of a cone with the following dimensions:
diameter= 4.4cm; height= 5.1cm
(round to the nearest tenth)
V = 3.14 * r2 * h * 1/3
=3.14* 2.22* 5.1* 1/3
=25.8 cm3
How many lines of symmetry does a regular pentagon have?
5
Find the missing value:
length= 12 in; width= 3 in; V= 198in3
height= ?
V= l*w*h
198= 12*3*h
198= 36h
5.5in = h
Find the missing value:
SA= 85m2; perimeter= 20m; slant height= 6m
base side length= ?
SA= base area + 1/2*perimeter*slant height
85= base area + 1/2*20*6
85= base area + 60
25= base area
base side length (square root of base area)= 5m
Find the surface area of a triangular prism with the following dimensions:
area of 1 triangle face (1/2*b*h)= 30m2
side1= 3m; side2= 3m, side3= 6m
length of prism= 5m
SA = (bh) + (s1+s2+s3)*l
= 60+(12*5)
=120m2
Find the missing value:
Volume of a cylinder= 549.5in3; diameter= 10in
height= ?
V = 3.14 * r2 * h
549.5= 3.14*25*h549.5= 78.5*h
h= 7in
How many degrees would I have to rotate the letter M to make it look like the letter W?
180 degrees