Surface Area: Prisms
Surface Area: Pyramids
Formulas
Volume
Cubes
100
6. Find the surface area of the triangular prism.
A 170 cm2
100
11. What is the surface are if you were to wrap this square pyramid?
33 sq. meters
100
What is the formula for the area of a rectangle?
A=bh
100
What is the VOLUME?
V=lxwxh (or Bh)
V= 4x3x2 (B is the 4x3 which finds the Base of the figure)
V= 24 cubic units
100
L = 12 x 2 = 24
(it take 2 half cm cubes for each one cm)
W =4 x 2 = 8
H = 8 x 2 = 16
24 x 8 x 16 = 3072 cubes
200
Find the TOTAL surface area of the triangular prism.
136 square units
triangles: 6 x 4 /2 = 12
6 x 4 /2 = 12
Rectangles: 7 x 5 = 35
7 x 6 = 42
7 x 5 = 35
12 + 12 + 35 + 42 + 35 = 136 square units
200
12. What is the TOTAL surface area of this pyramid?
65 ft2
200
2. What is the formula for the area of a triangle?
A =bh/2
200
A. Find the Volume.
B. What is the B (base)?
V = lxwxh
V =10x5x4
V=200 cubic meters
The B would be 10x5 = 50
200
How many cubes to fill this rectangular prism if you are using 1/3 in. cubes?
L= 13 x 3 =39
W= 6 x 3 =18
H= 10 x 3 = 30
39 x 18 x 30 = 21,060 cubes
300
What is the surface area of the rectangular prism?
62 u2
F & b: 5 x 3 x 2 = 30
L & r : 2 x 3 x 2 = 12
T & B: 5 x 2 x 2 = 20
30 + 12 + 20 = 62 square units
300
What is the surface area of this pyramid?
318 mm2
300
What is the formula for the Volume of a Rectangular Prism?
V = L x W x H
300
What is the volume of a rectangular prism with a length of 10.7 cm, a width of 4.5 cm and a height of 3.8 cm?
V = lxwxh
V = 10.7 x 4.5 x 3.8
V = 182.97 cubic cm
300
How many 1/4 in CUBES would it take to fill this box?
L = 8 x 4 = 32
W = 3 x 4 = 12
H = 12 x 4 = 48
32 x 12 x 48 = 18,432 cubes
400
9. What is the TOTAL surface area of the rectangular prism?
A 72 cm2
F & B: 3 x 6 x 2 =36
L & R: 2 x 6 x 2 = 24
T & B: 3 x 2 x 2 = 12
36 + 24 + 12 = 72 square cm
400
14. Find the surface area of the following triangular pyramid.
84 ft²
400
What is the area of a Square?
A = s2
400
A rectangular prism has a volume of 209.061 cubic inches. It's length is 5.34 inches and its width is 8.7 inches. What is its height?
V= l x w x h
209.061 = 5.34 x 8.7 x h
209.061 = 46.458h
209.061/46.458 = h
4.5 inches = h
400
How many 1/7 yard cubes would it take to fill this prism?
L= 5/7 x 7 = 5
W= 2/7 x 7 = 2
H= 3/7 x 7 = 3
5 x 2 x 3 = 30 cubes
500
What is the TOTAL surface area of the rectangular prism?
444 in2
500
15. Find the surface area of the following triangular pyramid.
252 yd²
500
What is the formula for Area of a Trapezoid?
We haven't learned a formula for a trapezoid.
You must first decompose it into a triangle and a rectangle.
Next, find the area of the triangle and rectangle.
Finally, add the two areas together