Getting into Solids: Pyramids - ETA hand2mind

Name __________________________________________
Find Surface Area and Volume
of the regular solid.
Fill in the blanks and show all your work.
Right Cylinder
Name of the solid: _______________________________
GETTING INTO SOLIDS — PRISMS
Worksheet 1: Answer Key (difficulty — medium)
diameter = 7 ft
height = 20 ft
L.A. + 2 B
Equation for formula: S.A. = _____________________________
B h
Equation for formula: V = ________________________________
circle
First, I will solve for the area of the Base, which is a ____________________________.
Describe your process through a series of clearly shown mathematical steps.
First, I will find the radius, r.
Now I can find the area of the base.
r = 1 / 2 diameter B = π r 2
r = 1 / 2 (7) B = π (3.5) 2
r = 3.5 B = 12.25π
12.25 π ft 2 , rectangle
B = ____________________
Next, I will solve for the Lateral Area which is a _____________________________.
Describe your process through a series of clearly shown mathematical steps.
L.A. = 2 π r h
L.A. = 2 π (3.5) (20)
L.A. = 140 π
140 π ft 2 L.A. + 2 B B h
L.A. = ____________________
Write the equations. S.A. = __________________________ V = __________________________
Replace variables with
their value. S.A. = __________________________ V = __________________________
140 π + 2 (12.25 π) 12.25 π (20)
S.A. = 140 π + 24.5 π
Solve the equations.
(Show all algebraic steps.) S.A. = __________________________ 164.5 π ft 2 V = __________________________
245 π ft 3
S.A. = 516.79 ft 2 V = 769.69 ft 3
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