Finding the Surface Area and Volume of Various

Objects

Cube

Surface Area

A = 6s2

Volume

V = s3

ss

Rectangular Prism

Surface Area

A = 2(lw + lh + wh)

Volume

V = lwh

w

l

h

Triangular Prism

Surface Area

A = bh + l(b + s1 + s2)

Volume

V = ½ bhl h

b

l

s1 s2

Closed Cylinder

Surface Area

A = 2πr (h + r)

Volume

V = πr2 h

h

r

Sphere

Surface Area

A = 4πr2

Volume

V = 4/3πr3

rr

Pyramid with a Square Base

Surface Area

A = B + Pl/2

Volume

V = 1/3 Bh

h

B = Area of Base = s2

P = Perimeter of Base = 4s

s

l

Cone

Surface Area

A = πr (√ (r2 + h2 ))

Volume

V = 1/3 πr2 h

h

r

What are the surface area and volume of the ball?

12 cm

What are the Surface Area and Volume of the large pyramid?

15

0 m

200 m

What is the volume of this cake?

2 ft..25 ft.

.25 ft.

.25 ft.

1.5 ft.

1.5 ft.

1 ft.

1 ft.

.5 ft.

What is the Surface Area of the section of stairs enclosed in white?

(Assume all steps are the same size.)

30 in.

40 in.

What are the volumes of the two buildings in the picture?

10 ft.10 ft.

15 ft.

8 ft.

12 ft.

6 ft.

20 ft.